[+3cos x)^(2)dx],[(sin x)/(3cos x+2)+cquad (2cos x)/(3sin x+2)+cquad (2cos x)/(3cos x+2)+cquad (2sin x)/(3sin x+2)+c]

int(3+2cos x)/((2+3cos x)^(2))dx is equal to ((sin x)/(3cos x+2))+c(b)((2cos x)/(3sin x+2))+c((2cos x)/(3cos x+2))+c(d)((2sin x)/(3sin x+2))+c

int(2sin x+3cos x)/(3sin x+4cos x)dx

int ((sin x + cos x)(2-sin 2x))/(sin^(2)2x)dx= a) (sin x+cos x)/(sin 2x) +C b) (sin x- cos x)/(sin 2x)+C c) (sin x)/(sin x+cos x)+C d) (sin x)/(sin x-cos x)+C

Evaluate: int(3sin x+2cos x)/(3cos x+2sin x)dx

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

Examples: (3sin x+2cos x)/(3cos x+2sin x)dx

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

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

IfI=int(sin2x)/((3+4cos x)^(3))dx, then Iequals (a) (3cos x+8)/((3+4cos x)^(2))+C(b)(3+8cos x)/(16(3+4cos x)^(2))+C(c)(3cos x)/((3+4cos x)^(2))+C (d) (3-8cos x)/(16(3+4cos x)^(2))+C