`I=inttan^(2)(2theta)d""theta` is equal to

The value of int(1+sin2theta)/(sintheta-costheta)d""theta is equal to

int(cos2theta)/((sintheta+costheta)^(2))d""theta is equal to

If (pi)/(2) lt theta lt (3pi)/(2) then sqrt(tan^(2)theta-sin^(2)theta) is equal to :

If (pi)/(2) lt theta lt (3pi)/(2) then sqrt(tan^(2)theta-sin^(2)theta) is equal to :

The value of f(k)=int_(0)^(pi//2) log (sin ^(2) theta +k^(2) cos^(2) theta) d theta is equal to

If sintheta+cosectheta=2 , then "sin"^(2)theta+"cosec"^(2)theta is equal to

The value of int_(0)^(pi//2)(log(1+x sin^(2) theta))/(sin^(2)theta)d theta,xge0 is equal to

If tan^(3)theta+cot^(3)theta=52 , then the value of tan^(2)theta+cot^(2)theta is equal to :

If tan^(3)theta+cot^(3)theta=52 , then the value of tan^(2)theta+cot^(2)theta is equal to :

The value of definite integral int_((pi)/((pi)/(2)))^((2 pi)/(3))(e^(-theta/2)sqrt(1-sin theta))/(1+cos theta)d theta is equal to