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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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BuyFindarrow_forward

Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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In Exercises 5–7, use the integration table in Appendix C to find the indefinite integral.

x ( 7 + 2 x ) 2 d x

To determine

To calculate: The value of indefinite integral x(7+2x)2dx.

Explanation

Given Information:

The integral is provided as:

x(7+2x)2dx

Formula used:

The formula 4 for integral u(a+bu)2du is:

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

x(7+2x)2dx

Here, a=7, b=2, u=x and du=dx.

Substitute u for x, a for 7, b for 2, and du for dx

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