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

13.06.2025 01:00

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

I=∫02xx dxI = \int_0^2 x^x \, dx

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:

Why are people outraged over Latina actress, Rachel Zegler, being cast to play Snow White in the live action remake of Disney’s Snow White and the Seven Dwarfs?

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