I have to proof that the integral converge for all p >0

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$$\int_{0}^{1} e^{-x} x^{p-1} dx$$

I guess I should have used the sharing criterion but I'm new to this and I don't know how it works, I understand the graph of $g(x)$ which is greater than $f(x)$ but it's confusing to apply, less for me.

Sorry for my english, I'm from Colombia I do my best.