by Gary Thomson | Mar 22, 2021 | Math Videos
Learn how to show that a function is always increasing using its derivative In simple terms, to say that a function is increasing or decreasing means that the graph is sloping up or down. Slope is measured by gradient which is associated with derivatives. So...
by Gary Thomson | Mar 1, 2021 | Math Videos
Definite Integrals and the Area Under a Curve A common integral Calculus problem is to find the area under a curve – and also the area between curves. In fact, this is often the first application of integrals that students learn. Finding such an area is...
by Gary Thomson | Feb 22, 2021 | Math Videos
Learn how to evaluate integrals where the integrand is a product of functions Integration by parts is a hugely helpful technique which greatly extends the number of functions that can be integrated. Like the product rule for differentiation, it allows us to integrate...
by Gary Thomson | Feb 8, 2021 | Math Videos
Learn how to find the area under a curve using definite integrals Finding the area underneath a curve is a common application of definite integrals. If you’re taking a course in integral Calculus you will almost certainly be asked to find the area underneath a...
by Gary Thomson | Feb 1, 2021 | Math Videos
Learn how to evaluate definite integrals using The Fundamental Theorem of Calculus The Fundamental Theorem of Calculus is a key result in Mathematics. It essentially links together the two branches of Calculus, differentiation and integration (anti-differentiation)....
