int(1-sin^(2)0)sec^(2)0d theta=

Evaluate: int_(0)^((pi)/(4))(tan^(-1)((2cos^(2)theta)/(2-sin2 theta)))sec^(2)theta d theta

int_(0)^(1)tan^(-1)xdx=alpha, then int_(0)^((pi)/(4))tan^(-1)((2cos^(2)theta)/(2-sin2 theta))sec^(2)theta d theta is equal to: alpha(b)(alpha)/(2)(c)3 alpha(d)2 alpha

Evaluate: int_0^(pi/4)(tan^(-1)((2cos^2theta)/(2-sin2theta)))sec^2thetad theta

If f(x)=int_(0)^((pi)/(2))(ln(1+x sin^(2)theta))/(sin^(2)theta)d theta,x>=0 then :

Evaluate: int_0^(pi/4)(tan^(-1)((2cos^2theta)/(2-sin2theta)))sec^2thetad theta .

Evaluate: int_0^(pi/4)(tan^(-1)((2cos^2theta)/(2-sin2theta)))sec^2thetad theta .

I=int_(0)^( pi/4)(sin2 theta)/(sin^(2)theta+cos^(4)theta)d theta

int _(0)^(pi//4) sec^(7) theta sin^(3) theta d theta is equal to