   Chapter 12.3, Problem 21E ### 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

# Evaluate the integrals in Problems 1-32. ∫ 6 x 3 2 x 4 + 1 d x

To determine

To calculate: The value of the integral a.

Explanation

Given Information:

The provided integral is:

6x32x4+1dx

Formula used:

If u is a function of x then,

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

Calculation:

Consider the provided integral:

6x32x4+1dx

Multiply and divide by 8 and rewrite the provided integral as,

688x32x4+1dx

Use the formula,

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

And compare from the provided integral.

In the provided integral, u=2x4+1 and u=8x3dx

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