`int(cos4x-1)/(cotx-tanx)dx` is equal to (A) `1/2ln|sec2x|-1/4cos^2 2x+c` (B) `1/2ln|sec2x|+1/4cos^2x+c` (C) `1/2ln|cos2x|-1/4cos^2 2x+c` (D) `1/2ln|cos2x|+1/4cos^2x+c`

int(sin5x)/(cos7xcos2x)dx is equal to (A) log|sec7x|+c (B) log|sec7xsec2x|+c (C) log|sec7x+sec2x|+c (D) none of these

int ((1-cos2x))/((1+cos 2x)) dx = ?

If int(cos4x+1)/(cotx-tanx)dx=kcos4x+c , then k= (A) -1/4 (B) -1/2 (C) -1/8 (D) none of these

int(log(1+cos x)-x tan((x)/(2)))dx

int sqrt(1+2cot x(cot x+cos ecx))dx is equal to (A) 2In((cos x)/(2))+c(B)2ln(s in(x)/(2))+c(C)(1)/(2)ln((cos x)/(2))+c(D)(1)/(2)ln(s in(x)/(2))+c

int(1)/(x cos^(2)(1+log x))dx

int(ln(1+sin^(2)x))/(cos^(2)x)dx

int(2sin x)/((3+sin2x))dx is equal to (1)/(2)ln|(2+sin x-cos x)/(2-sin x+cos x)|-(1)/(sqrt(2))tan^(-1)((sin x+cos x)/(sqrt(2)))+c(1)/(2)ln|(2+sin x-cos x)/(2-sin x+cos x)|-(1)/(2sqrt(2))tan^(-1)((sin x+cos x)/(sqrt(2)))+c(1)/(4)ln|(2+sin x-cos x)/(2-sin x+cos x)|-(1)/(sqrt(2))tan^(-1)((sin x+cos x)/(sqrt(2)))+cnone of these

int sin2x.log cos xdx is equal to 1) cos^(2)x((1)/(2)+log cos x)+k 2) cos^(2)x*log cos x+k 3) cos^(2)x((1)/(2)-log cos x)+k 4) cos^(2)x+log cos x+k

(i) int 1/ (cos^4x+sin^4x)dx (ii) int 1/(sin^4x+sin^2x cos^2x+cos^4x) dx