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

10.06.2025 01:22

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=∫02xx dxI = \int_0^2 x^x \, dx

Why is the French way to say please is "S'il te plaît" and not "Pour Favour" like Spanish and Portuguese "Per Favor" and Italian "Per Favore" in the Romance languages group?

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