# Math Help - Partly Conceptual

1. ## Partly Conceptual

What is $\int x^x$

And if it is a non integrable function then what is the reason behind it?

2. note x^x = (e^ln(x))^x = e^(xln(x)). This function isn't integrable. The proof goes similar to the proof that e^(x²) isn't integable which is probably in your textbook.