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

11.06.2025 04:29

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

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.

Why are there posts saying the T in LGBT should be dropped? With what is happening in the US and beyond against the trans community cause for concern that if this is accepted could it be deemed acceptable to start on the LGB community again?

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}. ​