√√2/2 11x² dx So √₁-x²² 10

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question
The integral displayed is:

\[
\int_{0}^{\sqrt{2}/2} \frac{11x^2}{\sqrt{1 - x^2}} \, dx
\]

The result of this integral is given by the following expression:

\[
\frac{11 \arcsin \left(2 \sqrt{2} \right)}{2} - \frac{11 \sin \left(2 \arcsin \left(2 \sqrt{2}\right)\right)}{4}
\]
Transcribed Image Text:The integral displayed is: \[ \int_{0}^{\sqrt{2}/2} \frac{11x^2}{\sqrt{1 - x^2}} \, dx \] The result of this integral is given by the following expression: \[ \frac{11 \arcsin \left(2 \sqrt{2} \right)}{2} - \frac{11 \sin \left(2 \arcsin \left(2 \sqrt{2}\right)\right)}{4} \]
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