[int log(1+(2)pi)x],[" nned with "],[" nScanner "]

[int_(-pi/4)^( pi/4)log(cos x+sin x)dx=(1)/(2)],[[" 1) "pi log2," 2) "-pi log2," 3) "-(pi)/(4)log2," 4) "-(pi)/(2)log2]]

int_(0)^(2pi) ln (1+Cos x) dx=

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

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

If int_(0)^(pi//2) log(cosx) dx=pi/2 log (1/2), then int_(0) ^(pi//2) log (sec x ) dx =

If int_(0)^(pi//2) log cos x dx =(pi)/(2)log ((1)/(2)), then int_(0)^(pi//2) log sec x dx =

If int_(0)^(pi//2) log cos x dx =(pi)/(2)log ((1)/(2)), then int_(0)^(pi//2) log sec x dx =

int _(log pi - log 2 ) ^(log pi) (e ^(x))/(1- cos ((2)/(3)e ^(x)))dx is equal to

The value of the integral int_(- (pi)/2)^( (pi)/2)(x^2 + ln( (pi + x)/(pi - x)))cosxdx is

int_0^pi dx/(1+10^(cosx))+int_(-1)^1 log((2-x)/(2+x))dx= (A) pi/2 (B) -pi (C) 0 (D) none of these