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int(0)^( pi/2) sin^(2)theta cos theta d ...

`int_(0)^( pi/2) sin^(2)theta cos theta d theta`

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If I_(1)=int_(0)^(1)(dx)/(e^(x)(1+x)) and I_(2)=int_(0)^( pi/2)(e^(sin^(2)theta)sin theta cos theta d theta)/((2-sin^(2)theta)) then (where [ .] denotes greatest integer function)