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

Last Updated: 24.06.2025 03:29

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}. ​

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:

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

Why would the state lie about the Earth's shape? We know that it's flat, but why do they lie and tell us that it is a sphere?

I=∫02xx dxI = \int_0^2 x^x \, dx