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

13.06.2025 15:56

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.

What was the weakest period in US history in terms of military strength? Was it during World War II or the Vietnam War?

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: