   Chapter 5, Problem 16RE ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# Evaluate the integral, if it exists. ∫ 0 1 ( u 4 + 1 ) 2   d u

To determine

The value of the integral function.

Explanation

Given information:

The integral function is 01(u4+1)2du.

The region lies between x=0 and x=1.

Calculation:

The expression to find the integral value is shown below:

01(u4+1)2du=01[(u1/4)2+1+(2×1×u1/4)]du=01(u1/2+1+2u1/4)du=(u3/232+u+2×u5/454)01

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