Proof by Induction

Proof by Induction

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...
The Area Under a Curve

The Area Under a Curve

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...
Evaluating Definite Integrals

Evaluating Definite Integrals

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)....
Trig Equations Exact Values

Trig Equations Exact Values

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...
Stationary Points

Stationary Points

Learn how to find stationary points and determine their nature Finding stationary points, sometimes called local extrema, is one of the first applications of derivatives that students learn and is a very common exam question. The technique is quite straight-forward...