`int_(0)^( pi)(dx)/(a+b cos x)(a>b)`

int_(0)^( pi/4)(dx)/(1+cos x)

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

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

int_(0)^(pi) (1)/(5+2 cos x)dx

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

int_(0)^(pi//4)(dx)/((1+cos2x))

int_(0)^(pi//2) (1)/(4+3 cos x)dx

Let l= int_(0)^(pi//2)(cosx)/(a cos x+ b sinx)dx and J=int_(0)^(pi//2)(sin x)/(a cosx+b sin x )dx , where a gt 0 and b gt 0 Compute the values of l and j

Prove that : int_(0)^(pi) (x)/(a^(2) cos^(2) x+b^(2) sin^(2) x)dx =(pi^(2))/(2ab)

Evaluate the following : int_(0)^(pi//2)(dx)/(a^(2)cos^(2)x+b^(2)sin^(2)x)