# Partly Conceptual

• October 20th 2008, 07:44 AM
great_math
Partly Conceptual
What is $\int x^x$

And if it is a non integrable function then what is the reason behind it?
• October 20th 2008, 09:48 AM
batman
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.