if f is continuous and the integral from 0 to 2 of f(x)dx=6, evaluate the integral from 0 to pi/2 of (f(2sintheta)cosetheta) dtheta
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Originally Posted by asdf if f is continuous and the integral from 0 to 2 of f(x)dx=6, evaluate the integral from 0 to pi/2 of (f(2sintheta)cosetheta) dtheta $\displaystyle \int_0^{\pi/2} f(2\sin \theta)\cos \theta d \theta$ let $\displaystyle t=\sin \theta$, the rest is trivial.
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