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

Last Updated: 17.06.2025 20:57

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

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}. ​

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

Did you use the internet during the DOS era? Can you describe your experience? How were images displayed on the black screen when everything was just text-based commands?

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: