Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Bernoulli formula for integrals

  1. Nov 7, 2005 #1
    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.
  2. jcsd
  3. Nov 7, 2005 #2


    User Avatar
    Science Advisor
    Homework Helper

    It's actually a series for the antiderivative. I don't see why not...


    P.S. It's kinda mysterious that this formula involves Euler's gamma function and not Bernoulli's numbers.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: Bernoulli formula for integrals
  1. Integration formula? (Replies: 9)