`inte^xsine^x dx`

int x.sin x dx

(i) int x sin^-1 x dx (ii) int x cos^-1 x dx (iii) int x tan^-1 x dx (iv) int x cot^-1 x dx

(i) int sin^-1 x dx (ii) int cos^-1 x dx (iii) int cot^-1 x dx

(i) int x^2 sin x dx (ii) int x^2 sin 2x dx

(i) int x sec^2 x dx (ii) int x cos^2 x dx

int x sin x.dx=?

If u and v are two functions of x then prove that : int uv dx = u int v dx - int [ (du)/(dx) int v dx ] dx Hence, evaluate int x e^(x) dx

int x. a^(x) dx