# Bernoulli formula for integrals...

by eljose
Tags: bernoulli, formula, integrals
 P: 501 let be the Bernoulli formula for calculating an integral in the form: $$\int{f(x)dx}=C+\sum_{n=1}^{\infty}(-1)^{n}x^{n}\frac{d^{n}f}{dx^{n}}\frac{1}{\Gamma(n)}$$ my question is..could we calculate the integral from this series?..thanks.
 Sci Advisor HW Helper P: 11,863 It's actually a series for the antiderivative. I don't see why not... Daniel. P.S. It's kinda mysterious that this formula involves Euler's gamma function and not Bernoulli's numbers.

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