Home
Class 12
MATHS
int (0)^((pi)/(4))(sec x dx)/(1+2 sin^(2...

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

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(3)[log(sqrt(2)+1)+(pi)/(2sqrt(2))]`
Promotional Banner

Similar Questions

Explore conceptually related problems

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

int _(0)^((pi)/(4)) (sin x+cos x)/(9+16 sin 2x)dx

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

int_(0)^((pi)/(4)) sec xsqrt((1-sin x)/(1+sin x))dx

int_(0)^((pi)/(4))(dx)/(a^(2)cos^(2)x+b^(2)sin^(2)x)=(1)/(ab)tan^(-1).(b)/(a)(a,bge0)

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

Find the values of: int_(0)^((pi)/(4))sqrt(1-sin2x)dx

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

The value of the integral int_(0)^((pi)/(4))(sinx+cosx)/(3+sin2x)dx is equal to-