Evalute: int(0)^(pi//2)(x sinx cosx)/(si...

Evalute: `int_(0)^(pi//2)(x sinx cosx)/(sin^(4)x+cos^(4)x)dx.`
Or, Eventuate: `int_(0)^(4)(x+e^(2x))dx` as the limit of a sum.

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The correct Answer is:

`(pi^(2))/(16)`
Or, `8+1/2(e^(8)-1)`

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