   Chapter 6.2, Problem 1CP ### 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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# Checkpoint 1Use the integration table in Appendix C to find ∫ x 2 + x   d x .

To determine

To calculate: The value of indefinite integral x2+xdx.

Explanation

Given Information:

The provided indefinite integral is,

x2+xdx

Formula used:

(1) The formula 19 for integral ua+budu is:

ua+budu=2(2abu)3b2a+bu+C

(2) General power differentiation Rule:

ddx[un]=nun1dudx

Calculation:

Consider u=x.

Differentiate the considered function with respect to x using power rule of differentiation.

du=dx

Now, consider the provided integral:

x2+xdx

Rewrite.

x2+xdx=x2+(1)xdx

Here, a=2, b=1, u=x and du=dx.

Substitute u for x, a for 2, b for 1, and du for dx

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