- #1
Jbreezy
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Homework Statement
Set up the integral (but do not solve) for the volume of the object created by rotating the region bounded by y = arctan(x) and y = arcsin(x) in the first quadrant.
Homework Equations
I = ∏∫(f(x)^2 - g(x)^2) dx
The Attempt at a Solution
a.) rotate about he x axis
I came up with
I = ∏∫(arcsin(x))^2 - (arctan(x))^2 dx between [0,1]
b.) rotate about the y -axis
I came up with
I = ∏∫(arctan(x))^2 - (arcsin(x))^2 dx between [0,∏/2]
Did I do this correctly.
Thank you.