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^ …

Mar 6, 2017 · This little trick is used for some integration problems involving trigonometric functions is probably well-known, but I only learned it yesterday.

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 …

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 …

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. …

Feb 5, 2014 · I have a question about work integrals. I'm trying to reconcile using integrals to essentially multiply force by distance, but the fact that there appear to be multiple different …

Feb 5, 2007 · To calculate the perimeter of a region using integral calculus, the length is determined by integrating the differential arc length, ds, which is defined as ds = √ (dx² + dy²). …

May 2, 2012 · I've this example of an integral. \\int^{x}_{a} f(t)dt What t and dt means? Is there a relation between t and dt?

Apr 23, 2019 · In Paul Nahin's book Inside Interesting Integrals, on pg. 113, he writes the following line (actually he wrote a more complicated function inside the integral where I have …

Sep 19, 2007 · The discussion centers on the splitting of a double integral into the product of two single integrals, specifically under the conditions outlined by Fubini's theorem. It clarifies that …