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

13.06.2025 07:55

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

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:

Who believes that Speaker Mike Johnson will certify ‘a free and fair and legal election'? Who believes that Speaker Mike Johnson will NOT certify ‘a free and fair and legal election'? Why?

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