What is the definite integral of x^x from 0 to 2?

Last Updated: 16.06.2025 03:39

What is the definite integral of x^x from 0 to 2?

The integral of xxx^x from 0 to 2 does not have a simple closed-form solution using elementary functions. However, it can be computed numerically. The definite integral you're asking for is:

The definite integral of xxx^x from 0 to 2 is approximately 2.83392.8339, with a very small error estimate of about 2.66×10−102.66 \times 10^{-10}.

I can compute this numerically for you. Let's do that.

Why do people who aren't trans feel the need to put pronouns next to their name or picture? It seems so cringeworthy to me, to participate in that SJW paradigm of thought, like they are a spineless person who just goes along with the trends.

I=∫02xx dxI = \int_0^2 x^x \, dx