Integration by Parts

Integration by Parts

Learn how to evaluate integrals where the integrand is a product of functions FollowFollowFollow Key Points Integration by Parts is for evaluating integrals written as a product of functions It is similar to the product rule for derivatives The key is assigning the...
Proof by Induction

Proof by Induction

Learn how to use proof by induction by following this example FollowFollowFollow Key Points Proof by Induction is a method for showing that a Mathematical result is true It is most useful when you have a large number of cases to prove the result for Proof by Induction...
The Area Under a Curve

The Area Under a Curve

Learn how to find the area under a curve using definite integrals FollowFollowFollow Key Points The area ‘under a curve’ is the area beneath the curve and between the x-axis and limits The area under is a curve is found by setting up and evaluating a...
Evaluating Definite Integrals

Evaluating Definite Integrals

Learn how to evaluate definite integrals using The Fundamental Theorem of Calculus FollowFollowFollow Key Points Definite integrals give a numerical solution not another function The numerical solution can be positive or negative Definite integrals are evaluated using...