   Chapter 5.2, Problem 3CP ### 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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# Checkpoint 3 Worked-out solution available at LarsonAppliedCalculus.comFind ∫ ( x 3   −   3 x ) 2 ( x 2  -  1 )   d x .

To determine

To calculate: The value of the provided indefinite integral (x33x)2(x21)dx.

Explanation

Given Information:

The provided indefinite integral is (x33x)2(x21)dx.

Formula Used:

According to the general power rule for integration,

If u is a differentiable function of x, then

undu=un+1n+1+C,

Where n1

Calculation:

Consider the indefinite integral say I,

I=(x33x)2(x21)dx

Multiply and divide by 3 in the right-hand side of above integral

I=(13)(x33x)2(3)(x21)dx

Take the factor 13 out of the integrand

I=13(x33x)2(3)(x21)dx

Or

I=13(x33x)2(3x23)dx

Let

x33x=u … (1)

Differentiate the above equation with respect to x

ddx<

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