- #1
dylanhouse
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Homework Statement
I am asked to find the integral over C of fds given C={r=cos(2t), theta=2t, for 0<=t<=pi/2} and f=xy.
Homework Equations
The Attempt at a Solution
I know the integral over C of fds is the integral over C of [fsqrt(r'^2+r^2(theta)'^2)]dt, but I don't know how to convert my function f=xy into a function of t so that I can integrate using the dt. I know x=rcos(theta) and y=rsin(theta), but that doesn't allow me to integrate with respect to t.