   Chapter 13, Problem 7T ### 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

# Use Table 13.2 in Section 13.5 to evaluate each of the following.(a) ∫ ln ( 2 x ) d x (b) ∫ x 3 x − 7 d x

(a)

To determine

To calculate: The value of the integral ln(2x)dx. Use Table 13.2 in Section 13.5.

Explanation

Given information:

The provided integral is ln(2x)dx.

Formula used:

From the table 13.2 in Section 13.5, Formula 14 is provided by,

lnudu=u(lnu1)+C

Calculation:

Consider the integral,

ln(2x)dx

Multiply and divide by 2,

ln(2x)dx=12ln(2x)(2dx)

If 2x=u then 2dx=du

Substitute 2x=u and 2dx=du,

ln(2x)dx=12

(b)

To determine

To calculate: The value of the integral x3x7dx. Use Table 13.2 in Section 13.5.

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