`int(cosx)/((cos(x/2)+sin(x/2))^3)dx`

Evaluate the following integrals : underset(0)overset(pi//2)int(cosx)/(cos(x)/(2) + sin (x)/(2))^3dx

int (cos2x)/(cosx) dx=

Evaluate : (i) int_(0)^(pi//2)(cosx)/((cos\ (x)/(2)+sin\ (x)/(2)))dx (ii) int_(0)^(pi//2)(cosx)/((1+cosx+sinx))dx

int (cos 2x)/(cosx^(2) sin^(2)x) dx = ?

underset(pi//6)overset(pi//2)int (cosx)/(sin(x/2)+cos(x/2))dx

int cosx/(cos2x)dx

int(cos2x)/(cosx-sinx)dx=

(i) int(cos^(3) x+ sin^(3) x)/(sin^(2) x.cos ^(2) x)dx " "(ii) int(cos2x)/(cos^(2) x sin^(2)x) dx