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

11.06.2025 00:21

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}. ​

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

How can one justify in Sweden that total subsidies for public green energy initiatives being approximately 8.2 billion SEK per year? Electric cars at market price typically cost an average of 500,000 SEK which is above household budgets.

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:

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