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सिद्ध कीजिये की int(0)^(pi//4) log(1+tan...

सिद्ध कीजिये की `int_(0)^(pi//4) log(1+tanx)dx=pi/8 log2`

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8. int_0^(pi/4) log(1+tanx)dx

int_(0)^(pi//2)log(tanx)dx=

int_(0)^((pi)/(2))log(tanx)dx

int_(0)^(pi//4) log (1+tan x) dx =?

int_(0)^((pi)/(2))log(tanx)dx=0

int_(0)^(pi//2)log(tanx+cotx)dx=

int_(0)^(pi//2) log (cotx ) dx=

int_(0)^(pi//2) log (cotx ) dx=

int_(0)^(pi//2)log(tanx+cotx)dx=pi(log2)

int_0^(pi//2)log(tanx)dx