Download the App!
Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.
Question
Answered step-by-step
Evaluate the definite integral.
$ \displaystyle \int^{\pi/4}_{-\pi/4} (x^3 + x^4 \tan x) \, dx $
Video Answer
Solved by verified expert
This problem has been solved!
Try Numerade free for 7 days
Like
Report
Official textbook answer
Video by Amrita Bhasin
Numerade Educator
This textbook answer is only visible when subscribed! Please subscribe to view the answer
02:48
Frank Lin
Calculus 1 / AB
Chapter 5
Integrals
Section 5
The Substitution Rule
Integration
Campbell University
University of Michigan - Ann Arbor
Idaho State University
Boston College
Lectures
05:53
In mathematics, an indefinite integral is an integral whose integrand is not known in terms of elementary functions. An indefinite integral is usually encountered when integrating functions that are not elementary functions themselves.
40:35
In mathematics, integration is one of the two main operations of calculus, with its inverse operation, differentiation, being the other. Given a function of a real variable (often called "the integrand"), an antiderivative is a function whose derivative is the given function. The area under a real-valued function of a real variable is the integral of the function, provided it is defined on a closed interval around a given point. It is a basic result of calculus that an antiderivative always exists, and is equal to the original function evaluated at the upper limit of integration.
00:36
Evaluate the definite inte…
01:42
04:02
Evaluate the integral.
02:05
06:12
Evaluate the integrals.
06:34
Evaluate the integrals…
06:26
02:33
Evaluate the integral.…
01:26
04:04
Evaluate integral
Okay, The first thing we know we could do for this is evaluate half of negative acts, So simply plug in negative acts everywhere. Worry you would otherwise have a positive X. As you can see, the function is odd from Night of X is the same thing as negative aftereffects. Therefore, because we know due to the cemetery, we know that because it's odd, it's simply gonna be zero as our solution because we're having the same thing minus the same thing. So, for example, X minus X. Therefore, this gives us zero is our solution for the integral. So this method of cemetery is a shortcut to figure out the solution to the integral.
View More Answers From This Book
Find Another Textbook
02:10
In a small city, approximately 14% of those eligible are called for jury dut…
00:25
Find the product. Simplify your answer. p^2( – p^2–1)
02:14
insert four arithmetic means between 15 and 45
02:31
Joshua can iron one shirt in 4 minutes. Solve the equation – 8 to find the a…
If the demand increases more rapidly for software engineers than for office …
01:48
Find the exact values of the six trigonometric functions of given the point …
01:01
If f(x) = 3x + 2 and g(x) = x2 – x, find each value.16. g(2) =g(…
01:04
If Polly decides to cut the extra-large 16 equal slices, how much of the piz…
04:25
In the year 2019, the population of a city is 20,612 people. The population …
00:57
If HJ = 7x-27, find the value of x.