2) Evaluate 21 S.SI xy + y" dy dx

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...
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2) Evaluate
2 1
xy
SS₁ *Vyr dy dx
1 +
-2 0
Transcribed Image Text:2) Evaluate 2 1 xy SS₁ *Vyr dy dx 1 + -2 0
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I now know about the even function rule where you can change the bounds from -a to a to 0 to a by putting a 2 out front of the integral for any "even function." After asking my first question about that the new solution did not use that method and instead used -2 to 2 as in the original problem, this makes the answer 0 and if you use the even function method and pull the 2 out front the answer is pi/2. Which of these is the correct answer? How do we know when we can use that even function rule or when not to. I noticed the rule said an even function is when f(-x)=f(x) but I'm not exactly sure what that means 

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Follow-up Question

Why can we pull the 2 out front and change the bounds of the integral from -2 to 2 to 0 to 2 instead?

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