What Are the Pitfalls of Multiplying and Dividing in Integration?
Jun 14, 2011 · Usually trig integrals need that, but even a simple integral like \int_ {0}^ {1} dx Can go wrong if we multiply and divide by the same thing. Also most of the time we aren't just …
Maxwell's, integrals, current, elements, delta phi and confusion
Mar 9, 2012 · The integral notation discussed includes path integrals, where the circle denotes a closed path, and the difference between standard and path integrals is clarified. …
Integrals of isotropic tensors, for expansion over spherical harmonics
May 27, 2024 · That makes sense - if you have an odd number of x’s, then under inversion the integral flips sign. But since the integral is extended over all space, it must be the same as …
Gaussian integral in Mathematica - Physics Forums
Jun 23, 2007 · To evaluate the Gaussian integral in Mathematica, one must choose appropriate coordinates for the integration, typically Cartesian coordinates for simplicity. The triple integral …
Coulomb and Exchange Integrals • Physics Forums
Nov 7, 2019 · The integrals in question will depend on the basis set, level of theory, etc. All the standard concerns with ab initio calculations. You could look for several different limits (HF …
Improper Integral Using Complex Analysis - Physics Forums
Apr 25, 2017 · Complex logarithm as primitive Apr 3, 2018 Replies 13 Views 2K Calculate real integrals using complex analysis Apr 6, 2014 Replies 1 Views 1K Triple Integral To Find …
Double integration - switching limits • Physics Forums
Jun 19, 2024 · Please evaluate this double integral over rectangular bounds Jun 8, 2021 Replies 10 Views 2K Find volume of this object using integrals May 27, 2023 Replies 6 Views 2K …
How Do Derivatives and Integrals Apply in Mechanical Engineering?
Jun 18, 2007 · Derivatives and integrals are fundamental concepts in mechanical engineering, with derivatives representing the slope of a curve and integrals calculating the area under a …
Is there a "First Principles" for integration? - Physics Forums
May 27, 2013 · More specifically, For indefinite integrals. I've looked online and can't find anything. Is there a method of finding indefinite integral analogous to finding the derivitive by: …
Double Integration using u-substitution • Physics Forums
Jul 25, 2012 · Iterated Integrals u-substitution The Attempt at a Solution I solved the previous double integration problem, but using u-substitution in two variables is throwing me off. I would …