int(sin2x)/((sin x+cos x)^(2))dx

int(cos2x)/((sin x+cos x)^(2))dx=

" (2."int(sin x)/(sin x+cos x)dx

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

int(sin2x)/(sin^(2)x+2cos^(2)x)dx=

int(sin2x)/(sin^(2)x+2cos^(2)x)dx(i)-log(1+sin^(2)x)+C(ii)log(1+cos^(2)x)+C( iii) -log(1+cos^(2)x)+C(iv)log(1+tan^(2)x)+C

int(sin2x)/(sin^(2)x+2cos^(2)x)dx(i)-log(1+sin^(2)x)+C(ii)log(1+cos^(2)x)+C( iii) -log(1+cos^(2)x)+C(iv)log(1+tan^(2)x)+C

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

int(cos2x)/((cos x+sin x)^(2))dx

If int(sin x)/(sin^(2)x+4cos^(2)x)dx=(1)/(sqrt(3))Tan^(-1)((g(x))/(sqrt(3)))+c then g(x)=.....

int(sin2x)/((1+cos2x)^(2))dx