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

11.06.2025 03:39

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

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

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

Having read so much about Archie and Lilibet not actually existing, does anyone have any proof that they not only exist but that Meghan gave birth to them?

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: