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Problem 22

Finding an Indefinite Integral In Exercises 15- 3…

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Problem 22

Finding an Indefinite Integral In Exercises 15- 36 , find the indefinite integral and check the result by differentiation.
$\int\left(\sqrt[4]{x^{3}}+1\right) d x$
Problem 23

Finding an Indefinite Integral In Exercises 15- 36 , find the indefinite integral and check the result by differentiation.
$\int \frac{1}{x^{5}} d x$
Problem 24

Finding an Indefinite Integral In Exercises 15- 36 , find the indefinite integral and check the result by differentiation.
$\int\left(2-\frac{3}{x^{10}}\right) d x$
Problem 25

Finding an Indefinite Integral In Exercises 15- 36 , find the indefinite integral and check the result by differentiation.
$\int \frac{x+6}{\sqrt{x}} d x$
Problem 26

Finding an Indefinite Integral In Exercises 15- 36 , find the indefinite integral and check the result by differentiation.
$\int \frac{x^{4}-3 x^{2}+5}{x^{4}} d x$
Sherrie F.
University of Houston
Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31 Problem 32 Problem 33 Problem 34 Problem 35 Problem 36 Problem 37 Problem 38 Problem 39 Problem 40 Problem 41 Problem 42 Problem 43 Problem 44 Problem 45 Problem 46 Problem 47 Problem 48 Problem 49 Problem 50 Problem 51 Problem 52 Problem 53 Problem 54 Problem 55 Problem 56 Problem 57 Problem 58 Problem 59 Problem 60 Problem 61 Problem 62 Problem 63 Problem 64 Problem 65 Problem 66 Problem 67 Problem 68 Problem 69 Problem 70 Problem 71 Problem 72 Problem 73 Problem 74 Problem 75 Problem 76 Problem 77 Problem 78 Problem 79 Problem 80 Problem 81

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Problem 21

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

Answer

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

Chapter 4
Integration
Section 1
Antiderivatives and Indefinite Integration
Calculus of a Single Variable

Topics

Indefinite Integrals

Discussion

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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.

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