Jun 11, 2007 · The discussion revolves around participants seeking and sharing challenging integrals suitable for Calculus 1-2. Users propose various integrals, including \int {\frac { (1+x^ …

Nov 13, 2012 · The discussion clarifies that the units of a definite integral depend on the units of the function being integrated and the variable of integration. When integrating a function like f …

Dec 15, 2007 · Product of two integrals... In proving a theorem, my DE textbook uses an unfamiliar approach by stating that the product of two integrals = double integral sign - the …

Feb 5, 2007 · I was wondering,how do we calculate the perimeter of a region using integral calculus?I know that to calculate the area we have to draw the region and if we want the …

May 29, 2012 · Surface integrals differ from double integrals in that they are used to sum values over a surface, while double integrals typically calculate area or volume. Surface integrals can …

Jan 17, 2011 · Understanding the application of integrals in physics often requires more than just solving problems; it involves grasping the underlying concepts and knowing when to apply …

Nov 29, 2004 · The integral of x*sin (ax) can be solved using integration by parts, where u=x and dv=sin (ax)dx, leading to the formula ∫x*sin (ax)dx = - (1/a)x*cos (ax) + (1/a)∫cos (ax)dx. The …

Jul 4, 2015 · In my paper on renormalisation I mentioned what most who have studied calculations in Quantum Field Theory find, its rather complicated and mind numbing.

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 29, 2007 · The discussion centers on whether integral or differential calculus should be taught first, with opinions suggesting that the order may not significantly impact understanding. …