   Chapter 6.4, Problem 4E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# Determining Whether an Integral Is Improper In Exercises 1-6, decide whether the integral is improper. Explain your reasoning. ∫ − 2 2 ln ( x 2 ) d x

To determine

Whether the integral 22ln(x2)dx is improper.

Explanation

Given Information:

The limit is provided as:

22ln(x2)dx.

Consider provided integral;

22ln(x2)dx

The Conditions for improper integral abf(x)dx are;

1. Any of the limits of integral is infinity.

2. It consist of an infinite discontinuity in the integral [a,b]

If the integral satisfied any of the above condition, it is a improper integral.

None of the limit of the provided integral is infinity

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