1.

Prove that the equality int_(0)^(pi//2) sin ^(m) x dx = int_(0)^(pi//2) cos ^(m)x dx and apply the obtained result in computing the following integrals :int_(0)^(pi//2) cos^(2) "x dx and " int_(0)^(pi//2) sin ^(2) x dx

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ANSWER :`I = (PI)/(4)`


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