`int xln(a)dx`

Evaluate int e^xln(x)dx

What is inte^(xln(a))dx equal to ?

int_(0)^(pi//2) sin 2 x.ln(tan 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 each of the following integrals: int x^(4)dx( ii) int x^(5/4)dx (iii) int(1)/(x^(5))dx( iv )int(1)/(x^(3)/2)dx

int{f(x)+-g(x)}dx=int f(x)dx+-int g(x)dx

d/(dx)(int f(x)dx)=

If int(xln(x+sqrt(1+x^2)))/(sqrt(1+x^2))dx =asqrt(1+x^2)ln(x+sqrt(1+x^2))+b x+c , then (A) a=1,b =-1 (B) a=1,b=1 (C) a=-1, b=1 (D) a=-1, b=-1