   Chapter 7.8, Problem 28E

Chapter
Section
Textbook Problem

# Determine whether each integral is convergent or divergent. Evaluate those that are convergent. ∫ 0 5 1 5 − x 3   d x

To determine

whether the given integral is convergent or divergent, evaluate it if convergent.

Explanation

Given:

05135xdx

Formula used:

xndx=xn+1n+1+cddxxn=nxn1

Let y=05135xdx

y=05135xdx=051(5x)13dx

Assume that,

5x=t when x=0;t=5x=5;t=0

Also –dx = dt

Therefore,

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