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

13.06.2025 14:28

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

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

I=∫02xx dxI = \int_0^2 x^x \, dx

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}. ​

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 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:

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