   Chapter 6.2, Problem 30E ### 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. ∫ 2 x ( 1 − 3 x ) 2   d x

To determine

To calculate: The solution of indefinite integral 2x(13x)2dx.

Explanation

Given Information:

The integral is, 2x(13x)2dx.

Formula used:

The formula for integral u(a+bu)2du is,

u(a+bu)2du=1b2(aa+bu+ln|a+bu|)+C

Calculation:

Let u=x.

Differentiate on both side with respect to x,

du=dx

Consider the provided integral,

2x(13x)2dx

Rewrite.

2x(13x)2dx=2x(1+(3)x)2dx

Here, a=1, b=3, u=x and du=dx.

Substitute u for x, a for 1, b for 3, and du for dx

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