`intxsin^3(x^2)cos(x^2)dx`

intxsin^(3)x^(2)cosx^(2)dx=?

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

int x^(3)*cos x^(2)dx

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

int x^(3)*cos x^(2)dx=

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

Evaluate: ( i int(sin^(3)x-cos^(3)x)/(sin^(2)x cos^(2)x)dx (ii) int(5cos^(3)x+6sin^(3)x)/(2sin^(2)x cos^(2)x)dx

int(sinx.cos^3x)/(1+cos^2x)dx

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