- - - -2- -2cos xdx -

[ ∫ #160; _ π /2 ^π /2 cos #160; xdx =[ sin #160; x ] _ π /2 ^π /2; ...

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Integration of Piecewise Continuous Functions

∫ - π /2π /2c...

Question

$π / 2 \int - π / 2 cos x d x =$

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$\int_{- π / 2}^{π / 2} c o s x d x$

\int_{- π / 2}^{π / 2} cos x d x

\int_{0}^{π} \frac{x^{2} sin 2 x . sin (\frac{π}{2} cos x) d x}{(2 x - π)}

\int_{0}^{π} \frac{x^{2} sin 2 x \cdot sin (\frac{π}{2} cos x) d x}{(2 x - π)}

I = π \int 0 \frac{x^{2} sin 2 x sin (\frac{π}{2} cos x) d x}{2 x - π}

\frac{π}{2} I

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