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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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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.

1 x ( 1 + x ) d x

To determine

To calculate: The solution of indefinite integral 1x(1+x)dx.

Explanation

Given Information:

The integral is 1x(1+x)dx

Formula used:

The formula for integral 1u(a+bu)du is,

1u(a+bu)du=1aln|ua+bu|+C

Calculation:

Consider u=x.

Differentiate on both side with respect to x.

du=dx

Consider the provided integral,

1x(1+x)dx

The integral formula,

1u(a+<

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