Home
Class 12
MATHS
int(0)^(pi/2)(cos x dx)/(1+sin^(2) x)...

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

Text Solution

Verified by Experts

The correct Answer is:
`pi(2-pi)`
Promotional Banner

Similar Questions

Explore conceptually related problems

int_(0)^((pi)/(2))(cosxdx)/(1+sin^(2)x)

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

Prove that, int_(0)^(2pi)(cosx)/(1+sin^(2)x)dx=0

int _(0)^((pi)/(4))(sec x dx)/(1+2 sin^(2)x)

Show that, int_(0)^((pi)/(2))(sin2x dx)/(sin^(4)x+cos^(4)x)=(pi)/(2)

Evaluate the integrals by using substitution int_(0)^(pi/2)(sinx)/(1+cos^(2)x)dx

Evaluate int_(0)^(pi/2)(cos^(4)x)/(sin^(4)x+cos^(4)x)dx

int_(0)^(pi)( x dx)/(1+cos alpha sin x)[0 lt alpha lt pi]

int_(0)^((pi)/(2))(sinxcosxdx)/(2cos^(2)x+3sin^(2)x)

Evaluate int_(0)^(2pi) (dx)/(1+3cos^(2)x)