Bernoulli formula for integrals...


by eljose
Tags: bernoulli, formula, integrals
eljose
eljose is offline
#1
Nov7-05, 06:09 AM
P: 501
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.
Phys.Org News Partner Science news on Phys.org
Going nuts? Turkey looks to pistachios to heat new eco-city
Space-tested fluid flow concept advances infectious disease diagnoses
SpaceX launches supplies to space station (Update)
dextercioby
dextercioby is offline
#2
Nov7-05, 06:39 AM
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.


Register to reply

Related Discussions
[SOLVED] Evaluating Integrals Using Cauchy's Formula/Theorem Calculus & Beyond Homework 2
Question about Gaussian Integrals and Path Integrals General Physics 2
Finite-part integrals (Hadamard) integrals with Mathematica Math & Science Software 11
Bernoulli: What? General Physics 2
Help me with Bernoulli, please? Introductory Physics Homework 0