`int_0^(pi//2)(sinx-cos x)/(1+sinx cos x) dx`

A

2

B

`-2`

C

0

D

None of these

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

int_(0)^(pi//2) (sinx )/(sin x + cos x ) dx=

Prove that: int_(0)^(pi//2) (sinx)/(sinx +cos x)d dx =(pi)/(4)

Evaluate: int_0^(pi//2)(sinx)/(sin^4x+cos^4x)dx

The value of int_(0)^(pi/2)(sin^(3)x)/(sinx+cos x) dx is

Evaluate the following : int_(0)^(pi//2)(sinx cos x)/((2sinx+1)(sin x+1))dx .

Prove that int_0^(pi//2) (sinx cos x)/(a^2 sin^2 x+b^2 cos^2x) dx=1/(a^2-b^2) log(a/b) .

int_(0)^((pi)/2)(cos^(3)x)/(sinx+cosx)dx

Evaluate: int_0^(pi/2) cos^2x/(2+sinx+cosx)dx