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^ …

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...

Mar 3, 2006 · Evaluating a fourth-order integral, such as f(x,y,z,t) dx dy dz dt, generally represents a hypervolume in four-dimensional space, extending the concepts of area and volume from …

Nov 13, 2012 · Hi, Suppose we have f(x) = x3. Integrating this function using the definite integral with the upper boundary being 3 and the lower boundary being 1 would result in 20. Does 20 …

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 …

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.

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 …

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.

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 …

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?