`int sin^(2/3)x cos^3 x dx`

int sin^(3)x cos x dx=

Evaluate : int sin^(2) 3x cos 3x dx

(i) int sin^2x cos^3x dx (ii) int sin^3 x cos^2 x dx (iii) int sin^3 x cos^3 x dx

int_(0)^(pi//2) sin ^(3) x cos^(3) x" "dx =

int(a sin^(3)x+b cos^(3)x)/(sin^(2)x cos^(2)x)dx

int(a sin^(3)x-b cos^(3)x)/(sin^(2)x cos^(2)x)dx

int(sin x)/(sin^(3)x+cos^(3)x)dx

int (sin ^ (2) x cos ^ (2) x) / ((sin ^ (5) x + cos ^ (3) x sin ^ (2) x + sin ^ (3) x cos ^ (2) x + cos ^ (5) x) ^ (2)) dx

Evaluate: (i) int(1)/(sin^(3)x cos^(5)x)dx (ii) int(1)/(sin^(3)x cos x)dx

(int(sin^(3/2)x+cos^(3/2)x)dx)/(sqrt(sin^(3)x cos^(3)x sin(x-alpha)))