What is the definite integral of x^x from 0 to 2?
12.06.2025 04:59
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.
How far back into your childhood can your remember and what is your favorite memory of that time?
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}.