   Chapter 12.2, Problem 44E ### 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)-(c) of Problems 45 and 46, three integrals are given. Integrate those that can be done by the methods studied so far. Additionally, as part (d), give your own example of an integral that looks as though it might use the Power Rule but that cannot be integrated by using methods studied so far.(a) ∫ ( 2 x 5 + 1 ) 7 / 2 3 x 4 d x (b) ∫ 10 x ( 2 x 5 + 1 ) 7 / 2 d x (c) ∫ 5 x 3 ( 2 x 4 + 1 ) 7 / 2 d x

(a)

To determine

To calculate: The value of the integral (2x5+1)7/23x4dx.

Explanation

Given Information:

The provided integral is (2x5+1)7/23x4dx

Formula used:

According to the power formula of integrals, if u=u(x), then:

undu=un+1n+1+C

Calculation:

Consider the provided integral:

(2x5+1)7/2<

(b)

To determine

To calculate: The value of the integral 10x(2x5+1)7/2dx.

(c)

To determine

To calculate: The value of the integral 5x3(2x4+1)7/2dx.

(d)

To determine

An integral that looks as though it might use the power rule but cannot be solved using power rule.

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