Evaluate `int (xcosx+e^x)dx`

Evaluate int e^x/log(e^x)dx

Evaluate int 5^(log _(e)x)dx

Evaluate: "int e^(x)a^(x)dx

Evaluate: int x^(2)e^(-x)dx

Evaluate: int x^(2)e^(-x)dx

Evaluate int x*e^(x)dx

Evaluate: int x^(3)e^(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

Evaluate int log_e(a^x)dx

Evaluate int dx/(e^-x +1)