Logo

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

14.06.2025 12:31

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

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

I=∫02xx dxI = \int_0^2 x^x \, dx

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}. ​

Why do some women alter their faces by so-called cosmetic surgeries (on their eyes, cheeks, lips, chin, jaw) that making them look like Donald Duck or puffy aliens, while for most men these unnatural facial changes are ridiculous or even disgusting?

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:

Read also: