- #1
harrietstowe
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Homework Statement
Find the area of the part of the cylinder y^2+z^2=a^2 that lies inside the cylinder x^2 +y^2 = a^2
Homework Equations
The Attempt at a Solution
So the first thing I did was I solved for z from the first equation to get z = Sqrt[a^2-y^2]. I took the partial derivative of z with respect to x to get 0 and the partial derivative with respect to y which is -y/Sqrt[a^2-y^2]
So you integrate over Sqrt[(-y/Sqrt[a^2-y^2] )^2 + 1] = a * sqrt[1/(a^2-y^2)]
I need help finding the boundaries for the double integral
Thanks