What is the definite integral of x^x from 0 to 2?
09.06.2025 00:58
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:
I can compute this numerically for you. Let's do that.
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}.