Evaluate the definite integrals- -0-sin 2x-2-cos 2x-2 d x-

∫_0^π ( sin^2 x/2 cos^2 x/2 )dx = ∫_0^π ( cos^2 x/2 sin^2 x/2 )dx = ∫_0^πcos x dx [∵ cos 2x =cos^2 x sin^2 x] = [sin x]^π_0 = [sin π sin 0]=0 ...

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Finite and Infinite Set

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Question

Evaluate the definite integrals.
$\int_{0}^{π} (s i n^{2} \frac{x}{2} - c o s^{2} \frac{x}{2}) d x .$

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