Logo

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

Last Updated: 17.06.2025 00:57

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

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=∫02xx dxI = \int_0^2 x^x \, dx

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

Why do the Republican city officials at Springfield Ohio continue to deny that immigrants are eating pets to sabotage the Trump campaign, even though immigrant pet-eating is now widely believed to be true?

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: