-(15.)/(0)(cos^(3)x-sin^(3)x)/(cos x-sin x)=(1)/(2)(2+sin2x)

(cos^(3) x- sin^(2) x)/(cos x - sin x)=(1)/(2) (2 + sin 2x)

cos3x-sin2x=0

int(3cos3x-2sin2x)/(cos2x+sin3x)dx

tan^(-1)[(2cos x-3sin x)/(3cos x+2sin x)]

int (3 cos 3x-2 sin 2x)/(cos 2x+ sin 3x)dx=

3-2cos x-4sin x-cos2x+sin2x=0

Integrate the following: int{(5cos^(3)x+2sin^(3)x)/(2sin^(2)x*cos^(2)x)+sqrt(1+sin2x)+(1+2sin x)/(cos^(2)x)+(1-cos2x)/(1+cos2x)}dx

If (sin^(3)"" (x)/(2)-cos^(3)""(x)/(2))/(2 + sin x) = (cos x)/( 3) then x =

lim_(x->0)((1-cos2x)sin5x)/(x^2sin3x)

Integrate the following: int{(5cos^3x+2sin^3 x)/(2sin^2 x*cos^2 x)+sqrt(1+sin2x)+(1+2sin x)/(cos^2x)+(1-cos2x)/(1+cos 2x)}dx