   Chapter 7.R, Problem 5TFQ

Chapter
Section
Textbook Problem

# Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement. ∫ 0 4 x x 2 − 1 d x = 1 2 ln 15

To determine

To Discuss: If 04xx21dx=12ln15 is true or false

Explanation

First of all observe that, the integral has infinite discontinuity at x = 1. So, write the integral as the sum of two improper integrals as shown below:

04xx21dx=01xx21dx+14xx21dx=limλ10λxx21dx+limλ1+λ4xx21dx=limλ1<

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