int(0)^( pi/2)(cot^(2)x)/(cot^(2)x+tan^(...

int_(0)^( pi/2)(cot^(2)x)/(cot^(2)x+tan^(7)x)dx

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int_(0)^(pi//2) (tan^(7)x)/(cot^(7)x+ tan^(7)x)dx

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int_(0)^((pi)/2)(tan^(7)x)/(cot^(7)x+tan^(7)x)dx is equal to

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