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

12.06.2025 00:20

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.

Why do you think most harem anime and manga have lame male protagonists that would be considered losers and pathetic by most people?

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: