Question

Find integral x^x dx

Answer 1

Integral and not the derivative? Because there is no closed form of this, you could try with a series expression, but series for x^x get pretty nasty too, because the respective derivative of x^x is

\[ x^x( \ln(x)+1)\] which is undefined at zero.

Answer 2

dude that has no elementary integral

Answer 3

it's best to use numerical approximation if you need definite int (simpson comes to mind)

Answer 4

there is no antiderivative for x^x ........but for some intervals we can calculate it analytically
for example x=0 to 1 and for other intervals u must do it numerically

i did it before for one of the users

here it is