Asked by Ray
I am supposed to find the area of the region given two boundaries and two functions revolving about the x axis.
x = 0
x = pi/2
y = cos(x/2)
y = sin(x/2)
Graphing those two functions made me select to use the washer method.
Therefore, I set my definite integral to this:
pi∫[0,pi/2] cos^2(x/2) - sin^2(x/2) dx
Is that the correct way of setting up the definite integral? I can integrate easily, but it's always setting it up is the most difficult part. Any help is greatly appreciated!
x = 0
x = pi/2
y = cos(x/2)
y = sin(x/2)
Graphing those two functions made me select to use the washer method.
Therefore, I set my definite integral to this:
pi∫[0,pi/2] cos^2(x/2) - sin^2(x/2) dx
Is that the correct way of setting up the definite integral? I can integrate easily, but it's always setting it up is the most difficult part. Any help is greatly appreciated!
Answers
Answered by
Steve
looks good to me
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