   Chapter 12.2, Problem 2CP ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# Which of the following is equal to ∫ ( 2 x 3 + 5 ) − 2 ( 6 x 2 d x ) ?(a) (b) ( 2 x 3 + 5 ) − 1 − 1 ⋅ 6 x 3 3 + C (c) ( 2 x 3 + 5 ) − 1 − 1 + C

To determine

The value of the integral (2x3+5)2(6x2)dx that matches the provided choices.

Explanation

Given Information:

The provided integral is (2x3+5)2(6x2)dx.

The provided choices are,

(a) [(2x4)/4+5x]116x33+C

(b) (2x3+5)116x33+C

(c) (2x3+5)11+C

Explanation:

Consider the provided integral,

(2x3+5)2(6x2)dx

Use the power rule undu=un+1n+1+C, if u=u(x) and the derivative of u is u(x) and n1

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