Jun 11, 2007 · can someone give me some really hard intergrals to solve? make sure they are in the range of calculus 1-2 (anything before multivariable) My teacher assigned some few hard …

Mar 19, 2013 · However, for significantly larger integral symbols, specific packages like those found on CTAN are necessary, as the basic LaTeX available on some platforms may have …

Nov 13, 2012 · That is why we typically introduce integrals in terms of "area under the curve"- if x has units of, say meters, and y= f (x) has units of meters also, then the integral \int f (x)dx has …

Apr 26, 2012 · In my advanced calculus class this semester, the notation ds appears often, for line integrals, surface integrals, and arc length. In all honestly, I don't really understand what …

Aug 21, 2011 · In line integrals, ds represents an element of distance along a curve, while dr is a vector difference that approximates the straight-line distance between two points on that …

Mar 3, 2006 · Double and triple integrals do not necessarily represent areas and volumes, you can compute both area and volume (in some special cases) with a single integral! In your …

Jun 7, 2007 · Exchange integrals indeed come from the Identical Principal, which is occur only in Quantum world. For example, for electrons you can find that the exchange integrals comes …

Dec 13, 2010 · Homework Equations Definition of integrals, derivatives The Attempt at a Solution For problems where you have an integral from a to x, where a is a constant and x is the …

Feb 25, 2013 · Often in physics we encounter cases in which swapping the order of the integral and sum is invalid, but the result is an asymptotic series rather than absolute nonsense. Does …

Jul 20, 2018 · Note that the basis for this use of integrals to define derivatives is that precisely the opposite of the original complaint is true, i.e. integrals are far easier, at least theoretically, than …