Question: integration problem

January 28 2013 Alex Smith 600
Maple

0

It's frustrating that Maple 14 evaluates this integral to be 0: 

int(sqrt(-8*cos(t)*sin(t)+5),t=0..2*Pi);

( The integrand is positive over the interval.)

This equivalent integral is evaluated correctly in terms of EllipticE:

int(sqrt(-4*sin(2*t)+5),t=0..2*Pi);

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