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

13.06.2025 10:21

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

How could NASA possibly land on the moon when it's impossible to reach the moon through the Earth's dome? Why are they making up such an obvious lie?

I=∫02xx dxI = \int_0^2 x^x \, dx