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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 the log Rule for integration In Exercises 13–30, find the indefinite integral. See Examples 4, 5, and 6.

1 x ln x d x

To determine

To calculate: The indefinite integral 1xlnxdx.

Explanation

Given Information:

The provided indefinite integral is 1xlnxdx

Formula used:

The logarithmic rule of integrals:

duu=ln|u|+C

Calculation:

Consider the indefinite integral:

1xlnxdx

Let u=lnx, then derivative will be,

du=dlnx=dxx

Rewrite the integrand as:

1lnxdxx

Substitute du for dxx and u for lnx in provided integration

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