Prove that: ∫cos^2 x/(sin x + cos x) dx for x ∈ [0,π/2] = 1/√2 log(√2 + 1) - Sarthaks eConnect | Largest Online Education Community
![Prove that: `int_(0)^(pi//2) log (sin x) dx =int_(0)^(pi//2) log (cos x) dx =(-pi)/(2) log 2` - YouTube Prove that: `int_(0)^(pi//2) log (sin x) dx =int_(0)^(pi//2) log (cos x) dx =(-pi)/(2) log 2` - YouTube](https://i.ytimg.com/vi/4XEd1-Lq8Qg/maxresdefault.jpg)
Prove that: `int_(0)^(pi//2) log (sin x) dx =int_(0)^(pi//2) log (cos x) dx =(-pi)/(2) log 2` - YouTube
Prove that ∫ log x/√(1-x^2)dx=-π/2(log 2), x ∈[0,1] - Sarthaks eConnect | Largest Online Education Community
If y = x cos^-1 x/√(1 - x^2) - log√(1 - x^2), then prove that dy/dx = cos^-1 x/(1 - x^2)^(3/2). - Sarthaks eConnect | Largest Online Education Community
![If `int_(0)^(pi//2) log(cosx) dx=pi/2 log (1/2),` then `int_(0) ^(pi//2) log (sec x ) dx = ` - YouTube If `int_(0)^(pi//2) log(cosx) dx=pi/2 log (1/2),` then `int_(0) ^(pi//2) log (sec x ) dx = ` - YouTube](https://i.ytimg.com/vi/ez9EpXPHlKI/maxresdefault.jpg)
If `int_(0)^(pi//2) log(cosx) dx=pi/2 log (1/2),` then `int_(0) ^(pi//2) log (sec x ) dx = ` - YouTube
![Prove that : `int_(0)^(pi//2)(x)/(sin x +cos x)dx= (pi)/(4sqrt(2)) log |( sqrt(2)+1)/(sqrt(2)-1)|` - YouTube Prove that : `int_(0)^(pi//2)(x)/(sin x +cos x)dx= (pi)/(4sqrt(2)) log |( sqrt(2)+1)/(sqrt(2)-1)|` - YouTube](https://i.ytimg.com/vi/c2vTrSjWpmM/maxresdefault.jpg)