` int xsqrtxdx`

inte^sqrtxdx

int sqrttanxdx

int xcosxdx

int sinxcosxdx

inte^xcosxdx

IF int_0^a sqrtx dx=2a int_0^(pi//2) sin^3 x dx, find int_a^(a+1) x dx .

int tanxdx=

What is the value of inte^xcosxdx+inte^xsinxdx ?

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

(i) int cosec x dx =____ (ii) int sec x dx= ____