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Finding an Indefinite Integral In Exercises 15- 3…

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University of Houston

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Problem 21

Finding an Indefinite Integral In Exercises 15- 36 , find the indefinite integral and check the result by differentiation.
$\int \sqrt[3]{x^{2}} d x$

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

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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.