" 15."(i)quad int_(0)^( pi/2)(dx)/(6-cos x)

int_(0)^(pi/2)(1)/(6-cos x)dx

Compute the integrals : (a) int_(0)^(pi//2) (cos x dx)/( 6 - 5 sin x + sin^(2) x) (b) int _(0)^(pi//2) (dx)/( 2 + cos x)

I=int_(0)^(2 pi)cos^(-1)(cos x)dx

Find I=int_(0)^( pi)ln(1+cos x)dx

int_(0)^((pi)/2)cos^(6)x dx=

int_(0)^((pi)/2)cos^(6)x dx=

int_(0)^(pi//6) (sin x) /(cos^(3)x) dx is

int_(0)^(2 pi)|cos x|dx

int_(0)^((pi)/(2)) sin^(6)x cos^(6)x dx

int_(pi//6)^(pi//2) cos x dx