Question

integration of limit 0 to pi/2 log(sin^2x)
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Answer 1

Final Result :
$\pi ln( \frac{1}{2} )$

For Calculation and Understanding See pic attached to it.


Properties Involved :

1) Substitution Method of Integrals
2) Sum of limits - x property of Integrals.


Hope you understand my answer and it may helps you .