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Evaluate int(0)^(pi//2)(xsinxcosx)/(cos^...

Evaluate `int_(0)^(pi//2)(xsinxcosx)/(cos^(4)x+sin^(4)x)dx`

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int_(0)^((pi)/(2))(x sin x cos x)/(cos^(4)x+sin^(4)x)dx=

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int_(0)^(pi/2)(cos^(4)x)/(cos^(4)x+sin^(4)x) dx =

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