   Chapter 5.2, Problem 1CP ### 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 1 Worked-out solution available at LarsonAppliedCalculus.comFind each indefinite integral.a. ∫ ( 3 x 2  + 6 ) ( x 3  +  6 x ) 2   d x b. ∫ 2 x x 2  - 2   d x

(a)

To determine

To calculate: The value of the provided indefinite integral (3x2+6)(x3+6x)2dx.

Explanation

Given Information:

The provided indefinite integral is (3x2+6)(x3+6x)2dx.

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=(3x2+6)(x3+6x)2dx

Let

x3+6x=u …… (1)

Differentiate the above equation with respect to x

ddx(x3+6x)=dudxddx(x3)+ddx(6x)=dudx

(b)

To determine

To calculate: The value of the provided indefinite integral 2xx22dx.

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