   Chapter 6.2, Problem 25E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# Using Integration Tables In Exercises 9–36, use the integration table in Appendix C to find the indefinite integral. See Examples 1, 2,3, and 5. ∫ x 2 1 + x   d x

To determine

To calculate: The solution of indefinite integral x21+xdx.

Explanation

Given Information:

The integral is provided as, x21+xdx.

Formula used:

The formula for integral u2a+budu is,

u2a+budu=1b3(bu2(2abu)+a2ln|a+bu|)+C

Calculation:

Let u=x.

Differentiate the above function with respect to x,

du=dx

Consider the provided integral,

x21+xdx

Rewrite.

x21+xdx=x21+(1)xdx

Here, a=1, b=1, u=x and du=dx.

Substitute u for x, a for 1, b for 1, and du for dx

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