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

09.06.2025 07:48

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

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:

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.

Why do people keep denying the similarities between Latin and Italian by saying they are totally different languages when it’s obvious they sound similar?

I=∫02xx dxI = \int_0^2 x^x \, dx