Bernoulli formula for integrals...

*eljose*

let be the Bernoulli formula for calculating an integral in the form:

[tex]\int{f(x)dx}=C+\sum_{n=1}^{\infty}(-1)^{n}x^{n}\frac{d^{n}f}{dx^{n}}\frac{1}{\Gamma(n)} [/tex]

my question is..could we calculate the integral from this series?..thanks.

dextercioby

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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eljose	Bernoulli formula for integrals... Tweet let be the Bernoulli formula for calculating an integral in the form: [tex]\int{f(x)dx}=C+\sum_{n=1}^{\infty}(-1)^{n}x^{n}\frac{d^{n}f}{dx^{n}}\frac{1}{\Gamma(n)} [/tex] my question is..could we calculate the integral from this series?..thanks.

dextercioby Blog Entries: 9 Recognitions: Homework Help Science Advisor	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.