   Chapter 6, Problem 22RE ### 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 19–22, use the indicated formula from the integration table in Appendix C to find the indefinite integral. ∫ x 5   ln   x   d x ,   Formula   43

To determine

To calculate: The value of indefinite integral x5lnxdx.

Explanation

Given Information:

The integral is provided as:

x5lnxdx

Formula used:

The formula 43 for integral unlnudu is:

unlnudu=un+1(n+1)2[1+(n+1)lnu]+C

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

Consider the provided integral:

x5lnxdx

Substitute u for x, and du for dx

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