arsetpopeye
G. int 6 cot 2x . sin^2 2x dx int 6 (cos2x/sin2x) . sin^2 2x dx int 6 cos 2x sin 2x dx int 3 . 2sin2xcos2x dx int 3 sin4x dx -3/4 cos4x + C
d. int sin^4 x dx int (sin^2 x)^2 dx int (1/2 - 1/2 cos 2x)^2 dx int 1/4 - 1/2 cos 2x + 1/4 cos^2 2x dx int 1/4 - 1/2 cos 2x + 1/4 (1/2 + 1/2 cos 4x) dx int 1/4 - 1/2 cos 2x + 1/8 + 1/8 cos 4x dx int 3/8 - 1/2 cos 2x + 1/8 cos 4x dx (3/8)x - (1/4) sin 2x + (1/32) sin 4x + C
int 6 (cos2x/sin2x) . sin^2 2x dx
int 6 cos 2x sin 2x dx
int 3 . 2sin2xcos2x dx
int 3 sin4x dx
-3/4 cos4x + C
d. int sin^4 x dx
int (sin^2 x)^2 dx
int (1/2 - 1/2 cos 2x)^2 dx
int 1/4 - 1/2 cos 2x + 1/4 cos^2 2x dx
int 1/4 - 1/2 cos 2x + 1/4 (1/2 + 1/2 cos 4x) dx
int 1/4 - 1/2 cos 2x + 1/8 + 1/8 cos 4x dx
int 3/8 - 1/2 cos 2x + 1/8 cos 4x dx
(3/8)x - (1/4) sin 2x + (1/32) sin 4x + C