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Gérard Letac's user avatar
Gérard Letac's user avatar
Gérard Letac's user avatar
Gérard Letac
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8
Assume $\int_0^\infty f(x)dx$ converges. Prove there exists $\xi\in[1,\infty)$ such that $\int_1^\infty \frac{f(x)}x dx=\int_1^\xi f(x)dx$.
6
Is there any method other than Feynman’s trick which can deal further with powers higher than 2?
5
Show that the function is strictly increasing.
5
A question on Beta function

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