- #1
californicate
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Homework Statement
Obtain the surface area when the curve y=ex, 0≤x≤1, is rotated about the x-axis
Homework Equations
Surface Area = 2∏a∫b x√(1+(dy/dx)2)dx
The Attempt at a Solution
I started with the the equation, Surface Area = 2∏0∫1 x√(1+e2x)dx. However, whichever way I try to integrate I end up getting stuck. By substitution, Nothing ends up working so that the integral becomes simpler, much less only according to one variable. By parts, I just end up with messier and messier integrals. How should I approach this problem?
Thanks!