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सिद्ध कीजिए कि int(0)^(pi//2) (dx)/(1+sq...

सिद्ध कीजिए कि `int_(0)^(pi//2) (dx)/(1+sqrt(tanx))dx=(pi)/(4)`

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int_(0)^(pi//2)(dx)/((1+sqrt(tanx)))=(pi)/(4)

int_(0)^((pi)/(2))(dx)/(1+sqrt(tanx)) is :

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

int_(pi//6)^(pi//3)(1)/((1+sqrt(tanx)))dx=(pi)/(12)

int_(0)^(pi//2)(dx)/(1+tanx) is

int_(0)^(pi//2)(dx)/(1+tanx) is

Evaluate : int_0^(pi/2)(dx)/(1+sqrt(tanx))

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

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