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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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Chapter
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BuyFindarrow_forward

Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem

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 2 ( 3 x 5 ) 2 d x

To determine

To calculate: The solution of indefinite integral x2(3x5)2dx.

Explanation

Given Information:

The expression is provided as, x2(3x5)2dx.

Formula used:

The formula for integral u2(a+bu)2du is,

u2(a+bu)2du=1b3(bua2a+bu2aln|a+bu|)+C

Calculation:

Let u=x.

Differentiate the above formula with respect to x,

du=dx

Consider the provided expression,

x2(3x5)2dx

Rewrite.

x2(3x5)2dx=x2(5+3x)2dx

Here, a=5, b=3, u=x and du=dx.

Substitute u for x, a for 5, b for 3, and du for dx

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