What is the antiderivative of 9x^2 times (1 + x^3)^1/2 ?

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter58: Achievement Review—section Five
Section: Chapter Questions
Problem 30AR: Determine dimension x to 3 decimal places.
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What is the antiderivative of

9x^2 times (1 + x^3)^1/2 ?

Expert Solution
Step 1

The given expression is,

Calculus homework question answer, Step 1, Image 1
Step 2

Obtain the antiderivative as follows.

Calculus homework question answer, Step 2, Image 1
Step 3

Use substitution method to obtain the antiderivative as follows.

Calculus homework question answer, Step 3, Image 1
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