   Chapter 12.3, Problem 41E ### 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) ∫ x e x 3 d x (b) ∫ x + 2 x 2 + 2 x + 7 d x (c) ∫ x 2 + 2 x x 3 + 3 x 2 + 7 d x (d) ∫ 5 x 3 e 2 x 4 d x

(a)

To determine

To calculate: The integrate xex3dx by the methods studied so far.

Explanation

Given information:

The provided function is:

xex3dx

Formula used:

If u is a function of x,

euu'dx=eudu=eu+C

In particulars,

exdx=ex+C

Calculation:

Consider the provided function:

xex3dx

If u is a function of x,

euu'dx=eudu=eu+C

In parti

(b)

To determine

To calculate: The integrate x+2x2+2x+7dx by the methods studied so far.

(c)

To determine

To calculate: The integrate x2+2xx3+3x2+7dx by the methods studied so far.

(d)

To determine

To calculate: The integrate 5x3e2x4dx by the methods studied so far.

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