   Chapter 12.3, 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

# True or false:(a) ∫ 3 x 2 d x x 3 + 4 = ln | x 3 + 4 | + C (b) ∫ 2 x d x x 2 + 1 = ln | x 2 + 1 | + C (c) ∫ 2 x d x = 2 ln | x | + C (d) ∫ x x + 1 d x = x ∫ 1 x + 1 d x = x ln | x + 1 | + C (e) To evaluate ∫ 4 x 4 x + 1 x d x , our first step to divide 4 x + 1 into 4x.

(a)

To determine

Whether the equation, 3x2dxx3+4=ln|x3+4|+C is true or false.

Explanation

Given Information:

The provided solution of integral is 3x2dxx3+4=ln|x3+4|+C.

Explanation:

Consider the provided function is 3x2dxx3+4

(b)

To determine

Whether the equation, 2xdxx2+1=ln|x2+1|+C is true or false.

(c)

To determine

Whether the equation, 2xdx=2ln|x|+C is true or false.

(d)

To determine

Whether the equation, xx+1dx=x1x+1dx=xln|x+1|+C is true or false.

(e)

To determine

Whether the statement,“ To evaluate 4x4x+1dx, our first step is to divide 4x+1 into 4x.” is true or false.

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