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int0^(pi/2)(dx)/(1+sqrt(tanx))=int0^(pi/...

`int_0^(pi/2)(dx)/(1+sqrt(tanx))=int_0^(pi/2)(dx)/(1+sqrt(cotx))=pi/4`

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int_0^(pi//2)(dx)/(1 + tanx) =

int_(0)^(pi//2)(1)/(1+sqrt(cotx))dx=

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int_0^(pi/2) (dx)/(1+cotx) =

int_(0)^(pi//2)(1)/((1+sqrt(cotx)))dx=?