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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