Logo

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

Last Updated: 19.06.2025 04:45

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

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}. ​

I=∫02xx dxI = \int_0^2 x^x \, dx

Why are German films often so formulaic even though Germany is a European culture? I love them but they follow formula very closely like Hollywood. What are the best German films?

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: