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 indefinite integral.
$ \displaystyle \int x^3 \sqrt{x^2 + 1} \, 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
02:56
Frank Lin
Calculus 1 / AB
Chapter 5
Integrals
Section 5
The Substitution Rule
Integration
Jinglei M.
July 22, 2022
where is the "-" sign come from?
Missouri State University
Campbell University
Harvey Mudd College
University of Nottingham
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.
02:05
Evaluate the indefinite in…
05:00
Evaluate the integral.
03:29
00:53
Evaluate the integral by m…
03:52
00:42
02:55
Evaluate the integrals.
02:18
05:55
01:15
Evaluate the definite inte…
02:58
Evaluate the integral usin…
02:33
Find the integral of \int …
This is the integral we are trying to integrate, which means that we know that you can beat the inside of the square root betweens writing this detox, the derivative is do you over to X and the derivative of one is simply Xerox. It's constant. Therefore, now we can write this oz 1/2 because it's the constant. So it goes on the outside. Integrate us. Remember the exponents increased by one divide by the exponents. This is the power rule outlined in the textbook back. Substitute us X squared plus one. And don't forget your pussy.
View More Answers From This Book
Find Another Textbook
01:59
a) List the open interval(s) on which the function is increasing Select the …
01:41
Question 52 ptsA student says that if a study concludes that there i…
Single adults: According to Pew Research Center analysis of census data, in …
04:51
If a variable has a distribution that is bell-shaped with mean 16 and standa…
03:39
rectangular box with a square base, an open top, and a volume of 216m3 js to…
01:52
MAT311 chapter three homeworkThe table shows the number {in thousands} o…
05:21
(2) A linear transformation T Pz(R) M2x2' (R) is defined as follows: fo…
02:21
Question 2 (1 point) Human blood is grouped into four types The percentages …
Question 9 (1 point) On a TV game show, contestant is shown products from gr…
01:57
Graphs of the velocity functions of two particles are shown_ where is measur…