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" (vii) "int(0)^( pi/2)log(tan x+cot x)d...

" (vii) "int_(0)^( pi/2)log(tan x+cot x)dx=pi log2

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

int_(0)^(pi//2) log (tan x ) dx=

int_0^(pi//2) log(tan x)dx =

Prove that: int_(0)^( pi/2)log|tan x+cot x|dx=pi log_(e)2

int_(0)^((pi)/(2))log(tan x)*dx

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

int_(0)^((pi)/(2))sin2x*log(tan x)dx=

int_(0)^(pi//2)x cot x dx=(pi)/(2)(log2)

Prove: int_(0)^( pi/2)log|tan x|dx=0