SOLUTION: Use an iterated integral to find the area of the region bounded by the graphs of f(x)= sinx and g(x)= cosx between x=pi/4 and x=5pi/4

Algebra ->  Test -> SOLUTION: Use an iterated integral to find the area of the region bounded by the graphs of f(x)= sinx and g(x)= cosx between x=pi/4 and x=5pi/4       Log On


   

Question 1005798: Use an iterated integral to find the area of the region bounded by the graphs of f(x)= sinx and g(x)= cosx between x=pi/4 and x=5pi/4
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Not sure I understand your request for an iterated integral.
These are typically used for multiple variables while in this case there is only one variable and the integration is straightforward.
I'll do it and you can reply if that's not what you're looking for.
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A=int%28%28sin%28x%29-cos%28x%29%29%2Cdx%2Cpi%2F4%2C%285%2F4%29pi%29
A=-cos%28x%29-sin%28x%29%2BC%29
Evaluating between the limits,
A=-cos%28%285%2F4%29pi%29-sin%28%285%2F4%29pi%29%2Bcos%28pi%2F4%29%2Bsin%28pi%2F4%29

A=2sqrt%282%29