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lmh4
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Homework Statement
Find the length of the curve.
x=cos(2t)
y=sin(3t)
0≤t≤2∏
I know the length is just the integral from 0 to 2∏of the magnitude of the velocity.
The Attempt at a Solution
x'=-2sin(2t) x'^2=4sin^2(2t)
y'=3cos(3t) y'^2=9cos^2(3t)
c=∫√4sin^2(2t)+9cos^2(3t)
Im having trouble evaluating the integral. Could some please point me in the right direction?
Thanks