Logo

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

14.06.2025 15:50

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

I=∫02xx dxI = \int_0^2 x^x \, dx

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’t get any girl I want, but I can just get some not my type of girls, so I feel I’m so ugly. What should I do?

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