   Chapter 6.2, Problem 19E ### 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 x 4 − 36   d x

To determine

To calculate: The solution of indefinite integral xx436dx.

Explanation

Given Information:

The expression is provided as, xx436dx.

Formula used:

The integral formula is,

1u2a2du=12aln|uau+a|+C

Calculation:

Let u=x2.

Differentiate on both side with respect to x,

du=2xdx

Consider the provided expression,

xx436dx

Multiply and divide by 2.

xx436dx=122xx436dx

Rewrite.

xx436dx=121(x2)2622xdx

Here, a=6, u=x2 and du=2xdx.

Substitute u for x2, a for 6, and du for 2xdx

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