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

Last Updated: 17.06.2025 18:40

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

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

Why would calling me an incel help anything? How does that solve anything? Why can’t you actually be helpful and offer productive honest advice?

I=∫02xx dxI = \int_0^2 x^x \, dx