Home
Class 12
MATHS
int(0)^((pi/48))int(0)^( pi/2)(x)/(sin x...

int_(0)^((pi/48))int_(0)^( pi/2)(x)/(sin x+cos x)dx=(pi)/(4sqrt(2))log(sqrt(2)+1)/(sqrt(2)-1)

Promotional Banner

Similar Questions

Explore conceptually related problems

Prove that : int_(0)^(pi//2)(x)/(sin x +cos x)dx= (pi)/(4sqrt(2)) log |(sqrt(2)+1)/(sqrt(2)-1)|

Prove that : int_(0)^(pi//2)(x)/(sin x +cos x)dx= (pi)/(4sqrt(2)) log |(sqrt(2)+1)/(sqrt(2)-1)|

int_(0)^((pi)/(2))(cos^(2)x)/(sin x+cos x)dx=(1)/(sqrt(2))(log(sqrt(2)+1))

Show that int_(0)^(pi//2) (x)/(sinx+cosx)dx=(pi)/(2sqrt(2))log (sqrt(2)+1) .

Show that : int_(0)^((pi)/(2))(sin^(2)x)/(sin x+cos x)dx=(1)/(sqrt(2))log(sqrt(2)+1)

int_(0)^( pi)((sin x+cos x)^(2))/(sqrt(1+sin2x))dx

Prove that int_(0)^((pi)/(2))(sin^(2)x)/(1+sin x cos x)dx=(pi)/(3sqrt(3))

int_(0)^(pi//2) sqrt(1- cos 2x) dx

int_(0)^(pi//2) sqrt(1- cos 2x) dx

int_(0)^(pi//2) sqrt(1- cos 2x) dx