Logo

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

Last Updated: 18.06.2025 01:43

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:

I=∫02xx dxI = \int_0^2 x^x \, dx

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

What does it mean when someone tells you they love you and want you in their life, but doesn't want to commit?

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}. ​