# What is #int_(0)^(1) (x^2)*e^(-x^2) dx #?

It's this!!

Which is Integration by Parts!

For that blue bit, I would call on this definition of the error function:

We can pattern match this into:

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The definite integral of ( x^2 \cdot e^{-x^2} ) from 0 to 1 is approximately 0.385872.

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