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

11.06.2025 05:27

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 do trans people get so deeply offended when a stranger misgenders them, especially when it's a first encounter? I've been socially transitioned for 4 years and it just feels like a waste of energy to be so hurt by it.

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: