Logo

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

Last Updated: 29.06.2025 15:52

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

In an interview Donald Trump said Taylor Swift could be a success in the music industry if she was not so liberal. What do you think? Is Trump correct that Swift is failing as a singer and should listen to his advice about her politics?

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