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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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BuyFindarrow_forward

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.

1 3 1 x 2 d x

To determine

Whether the integral 131x2dx is improper.

Explanation

Given Information:

The limit is provided as:

131x2dx

Consider provided integral;

Now, The Conditions for improper integral abf(x)dx.

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 an improper integral.

None of the limit of the integral is infinity. So, it doesn’t satisfy first condition

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