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viciousp
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Homework Statement
This isn't really a homework question but I was wondering if the equation I wrote makes any sense. Basically if you have a function f(x) from x=a to x=b and rotate it around a circle with radius a. At first the height of f(x) is at full height but when its at 2pi radians it has height zero, and as result must decrease at every change in dtheta.
The radius a is not necessarly equal to the a in the interval [a,b] for the function f(x)
Homework Equations
The Attempt at a Solution
I used a double integral as shown below:
[tex]\int_{0}^{2\pi }\int_{x=a}^{x=b}(\frac{1}{2}a^{2}(f(x)-\frac{f(x)\theta}{2\pi }))dxd\theta [/tex]does this make any sense?
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