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...

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...

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...

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)....

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