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int(0)^(pi)(cos x)/(1-sin^(m)x)dx...

`int_(0)^(pi)(cos x)/(1-sin^(m)x)dx`

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int_(0)^(pi)(cos^(4)x-sin^(4)x)dx=

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