`int a^(x) lna dx`

int x. a^(x) dx

int x^(x)dx

int (int e ^(x) (ln x +(2 )/(x) -(1)/(x ^(2)))dx )dx =

int x^(2)a^(x)dx

int(dx)/(x ln x)

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

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

int ((a-x)/(x))dx