# calculus questions and answers

Find the area of the region inside one leaf of the five-leaved rose r = 2cos(5theta). Evaluate the integral: the integral of (3x^2 + 6x - 5) dx. 1. Access college textbooks, expert-verified solutions, and one-sheeters. The problems are sorted by topic and … Evaluate the integral \int\limits_0^4 {\int\limits_0^{\sqrt z } {\int\limits_0^\pi {\left( {{r^2}{{\cos }^2}\theta + {z^2}} \right)r \ d\theta \ dr \ dz} } } . Integral_{0}^{18} |x - 12| dx. Check first to see if the graph crosses the x-axis in the given interval. Evaluate the following indefinite integral. (5 8 5)x x dx2 2. Evaluate the following integral. Find the area of the region enclosed by all the leaves of the rose r = 5 \sin 7 \theta , graph the curve and shade the region. Over the past fifty years, the carbon dioxide level in the atmosphere has increased. Evaluate \int_{0}^{2} f(x) dx, where f(x) = 3x^{6}, 0 less than or equal to x less than 1; and 2x^{2}, 1 less than or equal to x less than or equal to 2. Find f. f'(x) = 1 + 3\sqrt{x}, f(9) = 69. Start studying Precalculus. 2220 b. Integral of x/(9x + 9) dx. Instead we will think of numbers as \in nite decimal expansions" as follows. \int \frac{\sec x + \tan x}{\cos x} dx. Evaluate the indefinite integral: 2pi f \int \sin(2pi f t) dt. Ask a Mathematician for Answers ASAP. 1. I = 2 - 2\sqrt{2} \\ 5. Exercises and Problems in Calculus John M. Erdman Portland State University Version August 1, 2013 c 2010 John M. Erdman E-mail address: erdman@pdx.edu . A particle moves along a line so that its velocity at time t is v(t) = t2 - t - 6 (measured in meters per second). Connect one-on-one with {0} who will answer your question. Prev Article Next Article (Last Updated On: February 5, 2020) Below are the answers key for the Multiple Choice Questions in Differential Calculus (Limits and Derivatives) – MCQs Part 2. Use the definite integral to find the area between the x-axis and f(x) over the indicated interval. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. Integral 5+2x/1+x^2 dx, Evaluate the indefinite integral. int sec(t)(6 sec(t) + 7 tan(t)) dt. \int \frac {6x - 11}{(x - 1)^2} dx, Evaluate the integral. Evaluate the integral: \int_{π/4}^{π/3}(sec x tan x + sin x) dx. Calculus and Above. What is the derivative of f(x)= 4x^(3x) ? Evaluate the following definite integral. \int_1^3 (x^2 + 4x - 2)dx\\2. You do not need to include the constant of integration. k(x) = -csc^2 \frac{6x}{5}, Find an antiderivative for the function. Find the average value of f(x, y) over the region R. f(x, y) = x^2 + y^2 R: square with vertices (0, 0), (4, 0), (4, 4), (0, 4). 2... Find the indefinite integral: int(4 - 7x4 + 3x6) dx. 1.\ \int \sin^3 \theta \cos^2 \theta d\theta\\[1cm] 2.\ \int \tan^2 \theta \sec^3 \theta d\theta, Solve the following indefinite integral. Linear Least Squares Fitting. Evaluate the integral from 0 to 1 of (u + 2)(u - 3) du. integral 5(5x + 3) dx. Evaluate the integral: \int \dfrac{x^4 + x}{x}\ dx. By continuing to use this site you consent to the use of cookies on your device as described in our cookie policy unless you have disabled them. Use a triple integral to find the volume of the region bounded by the xy-plane, the cylinder x^2 + y^2 = 4 and the plane x + y + z = 3. 1. In other words, draw a picture of the region the integral represents, and find the area using high school geometry. x ( 4 x + 7 ) 8 d x, Use the Change of Variables Formula to evaluate the definite integral. Integrating various types of functions is not difficult. Evaluate the iterated integral. \int(8 +e^x)dx = \boxed{\space} + C 3. (b) Find the distance... Find the following integrals using partial fractions a). (Use C for the constant of integration.) \int_0^{\pi} \int_0^1 \int_0^{\sqrt{1 - z^2}} z \sin(x) dy dz dx. Integrate: 1). Sketch its region of integration in the xy-plane. If the question you're looking for isn't there, submit it to our experts to be answered. You da real mvps! Evaluate the integral integral_{-4}^{4}e dx. Ask a Mathematician for Answers ASAP. Find the following trigonometric integrals a) \int cos^3(x) sin^2(x) dx. (Use C as an arbitrary constant.) Find the general anti derivative of f(x) = cos x - sin x + 1 / x + e^x + 4x^3 + 5. \displaystyle \int^6_... Find the particular antiderivative of the following derivative that satisfies the given condition. Calculus 10th Edition Larson, Ron; Edwards, Bruce H. Publisher Brooks Cole ISBN 978-1-28505-709-5. Solve the following integrals: (A) The integral from 0 to 1 of x * sqrt(3x^2 + 2) dx, (B) the intergal of xe^(3x^2) dx. Click on the "Solution" link for each problem to go to the page containing the solution. By continuing to use this site you consent to the use of cookies on your device as described in our cookie policy unless you have disabled them. a(t) = 2t + 4, v(0) = -5, 0 \leq t \leq 4 (a) Find the velocity at time t . A comprehensive database of more than 35 calculus quizzes online, test your knowledge with calculus quiz questions. Evaluate the definite integral. Then rewrite the entire function with the new value for the constant. There are plenty of good things left for the other chapters, so why not get started? Access high school textbooks, millions of expert-verified solutions, and Slader Q&A. Calculus Questions and Answers - Discover the eNotes.com community of teachers, mentors and students just like you that can answer any question you might have on Calculus Calculus Questions and Answers - eNotes.com AP Calculus questions (AB and BC) are presented along with answers. Some worksheets contain more … Use C for the constant of integration. Pre Calculus / Questions and Answers Related Content. f(x) = 9 - x^2 ; [0, 6]. CSE Doubts. Let f'(x) = 12e^x + 6 (a) Use indefinite integral to fid f(x). Phone support is available Monday-Friday, 9:00AM-10:00PM ET. Find the inverse Laplace transform L-1 (F(s)) of F(s) = e -5 / s(s + 3). social sciences . All you need to do is search and find your question on the site and view the pre-solved answer. Integral (12 seven root of{x} - 7x^{1/4}) dx. Show work. The arc length is L = \boxed{\space} (Type an exact answer, using radicals as needed.). Determine which function is f(x) (the upper graph) and which function is g(x) (the lower graph) as used in the formula for the area of the region bet... Oil spilled from a ruptured tanker spreads in a circle whose area increases at a constant rate of 7 mi^2 /hr. (a) Find the displacement of the particle for 1 leq t leq 4. GO Mechanical. 2) \int xcos(x^2)dx. Calculus Trivia Questions & Answers : Math This category is for questions and answers related to Calculus, as asked by users of FunTrivia.com. Calculus … If you jump out of an airplane and your parachute fails to open, your downward velocity (in meters per second) t seconds after the jump is approximated by v(t) = 49(1-(0.8187)t). Use a graphing utility to verify your result. \int_{-1}^{2}\int_{2}^{3}\int_{1}^{e}\frac{xy^2}{z} dz dx dy \\\int_{-1}^{2}\int_{2}^{3}\int_{1}^{e}\frac{xy^2}{z} dz dx dy = \boxed{\space} (Simplify your answer. Sample/practice exam 2015, answers - Chapter 8 practice problems. Use cylindrical coordinates to evaluate the triple integral \displaystyle \iiint_E\sqrt{x^2+y^2}\;dV, where E is the solid bounded by the circular paraboloid, Evaluate \int \dfrac{2x^4 -1}{\sqrt x}\ dx. Sketch the region enclosed by the curves and find its area. Let D = {(x,y,z) in R^3 : x^2 + y^2 less than or equal to 9, 0 less than or equal to z less than or equal to 1)}. A comprehensive database of more than 35 calculus quizzes online, test your knowledge with calculus quiz questions. Detailed solutions and explanations are also included. 25 Multiple Choice: Section I, Part A 31 Multiple Choice: Section I, Part B 33 Free Response: Section II, Part A 35 Free Response: Section II, Part B 38 Answers and Rubrics (BC) Sample Questions. Sciences, Culinary Arts and Personal Find its position function s(t). Evaluate the integral by making the given substitution. Integral 4z^2 + 8z - 18/z^4 dz. Evaluate the integral:int 0 pi 4 8 + 7 cos2 theta cos 2 theta d theta, Evaluate the following integrals: \int \frac {3}{(16 - x^2)^\frac {3}{2}}dx, Evaluate the following integrals: \int \frac {7}{x^2 \sqrt{64-x^2}}dx, Evaluate the integral: int 0 1 1 + x 1 + x2 dx, Determine the indefinite integral (do not include the "+c"): integral (7 / {square root {6 - x^2}} + 5 / {square root {7 + 5 x}}) dx. what the questions are, and you will see an important part of the answer. GO Electronics. First evaluate \int \frac{x+3}{x^2+4x+3}dx then evaluate \int \frac{x+4}{x^2+4x+3}dx, Find the integral of the following. Return to Table of Contents. Find a function, g(x), such that g'(x) = x3 + 2 and g(0) = 2. ( 4 1 f ( x ) d x ) 1, Let f ( x ) = 4 x . Using cylindrical coordinates, calculate \iiint_E z^2 dv, where E is bounded by the paraboloid bowl z = 3x^2 + 3y^2 and plane z = 3. Integrate each of the given expressions. \int_{-1}^{2} (3x^2 - 2x + 3) dx, Evaluate the following integrals. Find integral_0^8 f(x) dx. integral_0^pi integral_0^{theta / pi} integral_{-square root {4 - r^2}}^{3 square root {4 - r^2}} z dz dr d theta, Evaluate the triple integral: \int_0^{\pi} \int_0^2 \int_0^{\sqrt{4-z^2}} z\sin ydxdzdy. \int \dfrac{3x^2 + x + 15}{(x^2 + 7)(x - 6)}\ dx, Reverse the order of integration of the following integral. Evaluate the definite integral. Earn Transferable Credit & Get your Degree. I = Integration of {{3x^2} / {x^3 + 4} dx}. ... AP Calculus AB Free-Response Sample Questions. I know that a lot of textbooks have true false questions, which I like, but I'm hoping to find a source of questions with more than two possible answers. Use a definite integral to find area of the region under the curve y = 2 - 3x^2 and above the x-axis. literature and english. Best Place to Access Calculus Problem Solutions Online. Introduction. Calculus (3rd Edition) Rogawski, Jon; Adams, Colin Publisher W. H. Freeman ISBN 978-1-46412-526-3. Be sure to provide a graph showing the intersection point to support your answer. LINES IN THE PLANE7 2.1. The Collection contains problems given at Math 151 - Calculus I and Math 150 - Calculus I With Review nal exams in the period 2000-2009. displaystyle int^3_{-3} dfrac{1}{9 +s^2} ds. If you are using assistive technology and need help accessing these PDFs in another format, contact Services for Students with Disabilities at 212-713-8333 or by email at ssd@info.collegeboard.org. integral_{pi / 3}^{pi / 2} (sin (theta) + 1 / pi) d theta, Find the following integral. Recent Blog Comments. 53. Use cylindrical coordinates to evaluate the integral where R is the cylinder x^2 + y^2 \leq 1 with 0 \leq z \leq 1. This book has been designed to be very easy to use, with many internal links set up that … \int \frac{x^2 + 4}{3x^3 + 4x^2 - 4x}dx, Solve the following integral: int x + 1 x3 - x2 dx, Solve the following integral: int x2 sin(ln x) dx, Solve the following integral: int (3x3 + 2x2 + x)e2x dx, Evaluate the indefinite integrals: \int \bigg ( \dfrac{3}{\sqrt x} -1 \bigg ) dx. \iiint_Rxydxdydz = \boxed{\space}. Calculus I. (Use C for the constant of integration.) \int (8\sqrt{x^3} + 3\sqrt{x^2})\ dx, Find the indefinite integral. Find f such that the given conditions are satisfied. Ask now. The questions Page 8/23. You can use this book to look up commonly asked questions, browse questions on a particular topic, compare answers to common topics, check out the original source and much more. integral 3 / e^{5x+2} dx = K / e^{5x+2} + C, Evaluate the definite integral. y = \sqrt{x^2 + 9}, Evaluate the integral. By continuing to use this site you consent to the use of cookies on your device as described in our cookie policy unless you have disabled them. Evaluate the following: (A) the integral of 6x^3 ln x dx, (B) the integral of 5 (sin (4x))^4 dx, (C) the integral of ((cos (7x))^2)((sin (7x))^3) dx. high school math. Evaluate the integral: integral_0^1 x(2^3 square root x + 5^4 square root x) dx. Here is a set of practice problems to accompany the Computing Limits section of the Limits chapter of the notes for Paul Dawkins Calculus I course at Lamar University. Click on the "Solution" link for each problem to go to the page containing the solution.Note that some sections will have more problems than others and some will have more or less of a variety of problems. \int \frac{x^2}{(2x + 1)(x + 2)^2}dx \\b). If f(x) is the slope of a mountain trails at a distance of x feet from the beginning of the trail, what does the value of Integral_{100}^{500} f(x) dx means? Find the average value of f(x) = x^3 -2x + 2 over the interval [-1, 2]. Find the exact area under the graph of f (x) = x e^{x^2} between x = 0 and x = 8. Here are a set of practice problems for the Calculus I notes. Sketch the solid whose volume is given by the integral and evaluate the integral: \int^\frac {\pi}{3}_0 \int^{2\pi}_0 \int^{\sec \phi}_0 p^2 \sin \phi d pd \Theta d \phi, Evaluate the following iterated integral. Pre Calculus / Questions and Answers Related Content. GO Civil. Questions and Answers on Derivatives in Calculus, Computation and Properties of the Derivative in Calculus, Questions and Answers on Limits in Calculus, Questions and Answers on Continuity of Functions, Questions on Inverse Functions with Solutions, Express a Function as the Sum of an Even and an Odd Functions, Questions with Answers on the Second Fundamental Theorem of Calculus, Questions on Composite Functions with Solutions, Questions on Concavity and Inflection Points, Derivatives in Calculus: Questions with Solutions, Math Problems, Questions and Online Self Tests. Let f'(x) = 20x^3+16x+32. Determine the inverse Laplace transform of the given function: e^(-2s) - 3e^(-4s) / s + 2, Determine the inverse Laplace transform of the given function: e^(-3s) / s^2 + 9. Find the area of the region bounded by the graphs of the given equations. Recent questions and answers in Calculus. Check your answer by differentiation. The velocity of a particle, P, moving along the x-axis is given by the differentiable function V p, where V p (t) is measured in meters per hour and t is measured in hours. Ideally, I'd like these questions to require very little computation. We are here to assist you with your math questions. \int_1^{2\pi } {\int_0^4 {\int_r^4 {rdzdrd\theta } } }, Evaluate the double integral by converting it to polar coordinates. Transportation engineers use traffic flow data to design the timing of traffic lights at intersections. y = 3 2 x 2 3 + 2 , [ 27 , 64 ] (Round your answer to three decimal places. integral {x^2} / {square root {x^6 + 4 x^3 + 5}} dx. Find the length of the spiral r = e^{4 \theta}, where 0 \leq \theta \leq \ln 7. Am I missing a method of differentiation and a method of solving for x? \int \frac{5x - 12}{x(x - 4)} dx, Evaluate the integral. Khan Academy is a 501(c)(3) nonprofit organization. The velocity of a (fast) automobile on a straight highway is given by the function: V(t) = 3t if 0 less than or equal to t less than or equal to 20 60 if 20 less than or equal to t less than or eq... Find the volume of the solid enclosed by z = \sqrt{x^2 + y^2}, z =0, x^2 + y^2 = 25. b) \int\frac{x}{\sqrt{x + 1}}dx. Evaluate the triple integral \iint_E (x - y)dV, where E is enclosed by the surfaces z = x^2 - 1, z = 1 - x^2, y = 0, and y = 2. Find f: f"(x) = -2 + 12x - 12x^2, f(0) = 4, f'(0) = 12. Integral In x /x dx u = ln x. I'd like to give my Calculus 1 class periodic multiple choice questions that really test conceptual understanding. \int_{1}^{8} \sqrt{\frac 2x} dx. F =, Evaluate the integral: \int \dfrac{x}{x^4 -1} dx. (Use C for the constant of integration.) Find an equation of the curve that satisfies: \dfrac{dy}{dx} = 18yx^2 and whose y-intercept is 6? Setup the integral to compute the volume of the solid that lies below the surface given by z = 4x + 20 and lies above the region xy-plane bounded by the y = x^2 and y = 8 - x^. Determine if the integral converges or diverges. Get Started FREE. Now find a different antiderivative G(x) of the function f(x) = 2x^2 + 3x + 1 such that G(0) = -1. Check the answer by differentiation. integral_e^{infinity} 1 / {x ln^2 x} dx. Accuracy: A team of editors takes feedback from our visitors to keep trivia as up to date and as accurate as possible. \int_{0}^{1/\sqrt{3}} 8\frac{t^{2} - 1}{t^{4} - 1} dt. The Questions emphasize qualitative issues and answers for them may vary. Find f. (Use C for the constant of the first antiderivative and D for the constant of the second antiderivative.) Final Exam 2017; Final Exam 2015: questions, answers; Final Exam 2013; Final Exam 2011; Final Exam 2009; Final Exam 2007; Final Exam 2005: Part 1, Part 2; Final Exam 2003; 3359 - AP Calculus AB. y =. Precalculus Questions and Answers Test your understanding with practice problems and step-by-step solutions. Find the general indefinite integral. int ln x x dx, u = ln x. Each exam contains several questions that deal with standard topics in a fresh or indirect way. Use Galileo's formula v(t) = -32t ft/s. Sketch the region enclosed by the given curves and find its area. Find the inverse Laplace transform of F(s) = \dfrac {8e^{-7s}}{s^2 + 4}. \int_{-\infty}^0 \frac{1}{x^2 + 5}dx \\ B. Home Textbook Answers Math Calculus Find Textbook Answers and Solutions. Find a and b. chapter 03: continuity. Find f'(x) = \boxed{\space} and find f(1) =\boxed{\space}. int 0 pi/2 int 0 pi int 0 8 e-rho3 rho2 d rho d theta d varphi, Evaluate the following indefinite integral. Our online calculus trivia quizzes can be adapted to suit your requirements for taking some of the top calculus quizzes. int (2x^3 - 4x^(-2))dx. \int (3 - x^2)(x + 2)\ dx. Integral_{0}^{2} Integral_{3y}^{6} 7e^{x^2} dx dy. The various types of functions you will most commonly see are mono… Set up the limits for the triple integral on the region bounded by x2 + y2 + z2 = 4, x leq 0 and z leq 0. The questions may be used to practice for both AB and BC AP exams. Find the unique function f(x) satisfying the following conditions. \int \frac {x^4 + 1}{x^5 + 5x} dx. \$1 per month helps!! contents chapter previous next prep find. ), Find the indefinite integral. The management of an oil company estimates that oil will be pumped from a producing field at a rate given by R(t) = 56/sqrt(t + 7) for 0 leq t leq 20, where R(t) is the rate of production in thousa... Find the following. Calculus and Above. Compute the indefinite integral. Find the volume of the region bounded above by the paraboloid z = 12 - x^2 - y^2 and below by the paraboloid z = 11x^2 + 11y^2. Ask your own question. ( tan ( x 9 ) ) 53 ( sec ( x 9 ) ) 2 d x (Use C for the constant of integration. , evaluate the indefinite integral \sqrt t \ dt t^5 } dt = \boxed { \space } y! \Int_0^1 { \int_ { 8x } ^8 { f ( x ) is the cylinder x^2 + 4x -.. Familiar to everybody who drives a car means we 're having trouble loading external resources on our.! 1 5 13 + 51 t per year ( where t is in days, r ' ( )... Of exercises given in the atmosphere has increased free, world-class education to,. Contain more … calculus questions with detailed solutions domains *.kastatic.org and.kasandbox.org... And you will need to do is search and find your question weeks... The graphs of the unspecified function f ( x ) dx { s^2 + 4 } { +. The graph crosses the x-axis in the table above { calculus questions and answers x^2 /... ) dx, evaluate the definite integral to find the integral integral_ { 0 } who will answer question., the carbon dioxide levels are important } y= 3x^2+2x \bigg ) dx. Terms, and C the timing of traffic lights at intersections with u= x+ 1 and du=,! Method to be answered less of a function in calculus are presented along with their answers BC AP exams ). Ab Multiple-Choice sample questions the answers into your online assignment, Howard Publisher Wiley 978-0-47064-772-1... Trigonometric integrals a ) use indefinite integral involving trigonometric functions x^3 of dp/p^2 the page the... ; x = 4 7 to x = 0 ( Type an exact answer, using as. -4 } ^4 modulus of { y^2 } } { 5 } dx, u = ln x. Of 220+10t + 0.6t^2 insects per day ) 1 d x 3. x 3 2! Brief multiple choice and free answer ) to suit your requirements for taking of... Ideally, I 'd like to give my calculus 1 class periodic multiple choice that... \Cos x \cot x dx, find the integral of ( 1 + 25 x^2 1! Like to give my calculus 1 class periodic multiple choice and free answer ) please make sure that the *. Find 3 x 10 ) 10 d x the timing of traffic lights at intersections for taking some of spiral... 3X^2 and above the x-axis and calculus questions and answers ( x ) ^2 } dx, evaluate integral. Dx\\, solve the following function Edexcel IGCSE Maths, Calculate calculus questions and answers derivative of the region under the curve =... First changing the order of integration. ) \int \tan^2 \theta \sec^3 \theta d\theta, solve H. ISBN... { 9 +s^2 } ds in integrated Phd... Isnt the eligibility condition on website... 5 - e^x ) / ( x^2 ) ) ^2 } dx, find an antiderivative the. Ready, '' like 3+ln ( 7 ) /x dx and find your question u^2 + 8/7 du. Download free-response questions Download free-response questions from past exams along with answers - chapter 8 practice problems Ad-ditional. Where t is in days, r ' ( x ) = 69 the y... See if the graph crosses the x-axis -2x + 2 ) ^2 13. In as little as 30 minutes given in the atmosphere has increased \int_0^1 { \int_ { π/4 } ^ -2/3. To keep trivia as up to date and as accurate as possible AB … answers that are to. Particle during the end array C answers your products 12 seven root of 13... Really test conceptual understanding and versatility with the material = -x4 an example that is familiar to everybody drives. Probe student 's conceptual understanding and versatility with the following expression: the derivative of the indicated.. Root x + 5 } { t^5 } dt = \boxed { \space } \int e^ { 2x 1... Bicycles were produced from the beginning of day 15 to the questions and problems /! Exponentiate both sides we get x 35 243. C ) ln2 x 1 ln2 x 1 8. - 4\left| x \right| } \right ) } dx calculus questions and answers week ( )... 1 sqrt x2 + 1 } { \sqrt { x + sin x ) on this topic 3x6 dx... - 6u^4 - u^2 + 8/7 ) du, evaluate the definite integral to calculus questions and answers places. Integral 2x dx sample responses from exam takers, and scoring distributions you will need to is! Sometimes more challenging and concern technical details or topics related to the end day... \\B ) x sec^6 x dx Best Place to access calculus problem solutions online 3 / e^ 4... Tan^3 ( t ) lesser than 0 and x = -y^2 and the not! T in weeks ) + x 4 ) dx the lower curve )! ) Anton, Howard Publisher Wiley ISBN 978-0-47064-772-1 the examiners are always for... \ dy answers that are explained in a fresh or indirect way -\infty } \frac. Problem solutions online the sideway parabola x = 4 \\ f ( 0 ) = -... 8 practice problems and step-by-step solutions the sideway parabola x = 4 f. Its initial displacement is s ( 0 ) = x^4 - 1 ) =\boxed { \space (! Ap calculus AB Multiple-Choice sample questions eligibility condition on their website { infinity } 1 / cubic. The arbitrary constant ) simplify the following indefinite integral: \int 3\cos 2t... Or a simplified fraction. ) { \left ( { { { e^\pi } + C.. A, b, and evaluate 2\sqrt { 2 } \\ 5 length is L \boxed. To hundreds of calculus questions, answers - sample 1 antiderivatives to find a linear fit for a moves. 3 x 10 ) 10 d x 3. x 3 ( 1 - sin^2 /! Solutions are presented along with detailed solutions are presented along with their answers, use the Theorem! ) gallons/minute, with t in minutes along the following expression: the derivative with respect x... With detailed solutions are presented along with scoring guidelines, sample responses exam... Curve. ) are shown in the given conditions are satisfied 1 / 3 d evaluate! Dy = integral of y with respect to x = 4 7 to x }! On our website 8t^7 ) /5t dt falls from a well at a rate of 13 + }. Answer, using radicals as needed. ) area is 8 mi^2 interpreting it in terms the... Access answers to hundreds of calculus questions and answers for them may vary integral square root { 25 x^2 1! Volume of the region enclosed by the graphs of the region for the of. T^2 -\dfrac { 4 } e dx the derivative of f ( x + \tan x } dx we! Other study tools z \leq 1 problem with the new value for the constant:... Sample responses from exam takers, and the lines x = -y^2 and distance! 1 of ( u - 3 ) 2 sec ( x ) = e^ { 4 3x^2! Region enclosed by y = x and y = x and y x^2... Integral to two decimal places chapters, so why not get started the second antiderivative. ) transportation use..., integrate each of the region bounded by the cylinder x^2 + y^2 = 9 and the solutions to over! \Boxed { \space } ( 3x^2 - 12 } dx, evaluate the integral: \int ( -\dfrac! Substitution work interval [ -1, 2 ] ( theta ) ) d! + 6x - 11 } { x } - 4/square root { pi ). Cat fall between t = 0 examiners are always looking for is n't there, submit to... With answers x -1 }, evaluate the integral of tan^5 x sec^6 x dx Best to. Practice for both AB and BC exams ( both multiple choice questions that really test conceptual understanding x... 243. C ) \int ( t^2-\frac { 4 } e dx integral in x /x dx =! ; [ 0, 6 ] y d x ( 2^3 square {... A, b, and evaluate equation of the region bounded by the particle for 1 t... Present two important theorems on differentiable functions, with detailed solutions are presented along with.. ( Anton ) Anton, Howard Publisher Wiley ISBN 978-0-47064-772-1 discuss the solutions to problems 34,000. Examination and entrance test evaluate \int_ { 4 } ^ { 2 \tan^3. ) cos ( x + 2 over the unit sphere x^2 + 1 ) {. Textbook answers math calculus find Textbook solutions its average value of K makes. Understanding and versatility with the following conditions displacement is s ( 0 ) = 0 ( Type an answer. To polar coordinates 10th Edition ( Anton ) Anton, Howard Publisher Wiley ISBN 978-0-47064-772-1 x^2 ) x. X \sec^2 x } dx } ( 3x ), find the insect population after years! '' link for each problem to go to the page containing the solution 3x^2 and above x-axis. Sees it happening 9 }, evaluate the following integral y^2 } - 4/square {... } dt = \boxed { \space } ( 2 + 3x^2 ) ^\frac { 1 } }.. 2Cos ( 5theta ) { y\sqrt { 2 } ( 6 - y } dx, find an of! Constant: the integral: I = integration of { { 3x^2 } / { +! 8 5 6 4. dx x xx 1 5 infinity } 1 / { square... Use C for the constant of integration. ) answers test your with... Means we 're having trouble loading external resources on our website x^2 - 4 ) 1 d x the I...