Sign up for our free STEM online summer camps starting June 1st!View Summer Courses

University of Houston

Need more help? Fill out this quick form to get professional live tutoring.

Get live tutoring
Problem 21

Finding an Indefinite Integral In Exercises 15- 36 , find the indefinite integral and check the result by differentiation.

$\int \sqrt[3]{x^{2}} d x$

Answer

$$

\frac{3 x^{\frac{5}{3}}}{5}+C

$$

You must be logged in to like a video.

You must be logged in to bookmark a video.

## Discussion

## Video Transcript

already questioned. 21 starting with the integral. Um, you We're the ex and rewriting that X to the third call. Now I'm going to add one to X to the 2/3. Well, I'm gonna get X to the there. Howard, my coefficient here is one. So I have to make sure that my exponents and whatever fraction is in front of my ex multi fighting anyone, and that would be my reciprocal. So 5/3 times 3/5. Give me one. Let's see that is it when we check in with five times three this we get a one x track one out, get to third, and we have to camp four.

## Recommended Questions