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 15, 2021 | Math Videos
Learn how to use proof by induction by following this example FollowFollowFollow All Mathematical theorems, formulas and rules have to be proven to be true. Mathematical proofs – demonstrations that a rule or theorem is true – can be straight-forward or...
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)....
by Gary Thomson | Jan 24, 2021 | Math Videos
Learn how to solve Trigonometric Equations without the use of a calculator Trigonometric equations come in various shapes and sizes. Additionally, some require a calculator while others don’t, and some are in degrees and others radians. If the calculator...