   Chapter 12.3, Problem 42E ### 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

# In parts (a)-(d) of Problems 41 and 42, integrate those that can be done by the methods studied so far.(a) ∫ 3 x − 1 x 3 − x + 2 d x (b) ∫ 3 x − 1 6 x 2 − 4 x + 9 d x (c) ∫ 5 x e x d x (d) ∫ 6 x e − x 2 / 8 d x

(a)

To determine

To calculate: The integration of 3x1x3+3x2+7dx.

Explanation

Given information:

The provided function is:

3x1x3+3x2+7dx

Formula used:

The integration of a logarithm function,

1xdx=ln|x|+C

For a function of x,

u1udx=uudx=1udu=ln|u|+C

Calculation:

Consider the provided function, 3x1

(b)

To determine

To calculate: The integration of 3x16x24x+9dx

(c)

To determine

To calculate: The integration of 5xexdx.

(d)

To determine

To calculate: The integration of 6xex28dx

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