   Chapter 6.4, Problem 7E ### 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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# Evaluating an Improper Integral In Exercises 7-20, determine whether the improper integral diverges or converges. Evaluate the integral if it converges. See Examples 1, 2, and 3. ∫ 1 ∞ 1 x 4 d x

To determine

Whether the improper integral 11x4dx diverges or converges and evaluate if it converges.

Explanation

Given Information:

The expression is provided as:

11x4dx

Consider the provided expression:

11x4dx

From definition of improper integral;

af(x)dx=limbabf(x)dx

Use the definition above in improper integral and simplify the integral as;

11x4dx=limb1b1x4dx

Use the formula of integration xndx=xn+1n+1+C polynomial to integrate the above expression

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