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

Last Updated: 28.06.2025 03:42

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

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

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:

I=∫02xx dxI = \int_0^2 x^x \, dx

"Can God create iron that God cannot bend?" Isn't it unreasonable to ask this about a being believed to have created logic? After all, God can create a logic that we can't understand right now that both are possible at the same time, right?

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}.