September 10, 2009
No CommentsThe Definition of an Integral
Description
This video describes what an integral or an anti-derivative is. Several examples are provided in this video. Knowledge of integrals is needed to pass calculus.
Overview
An integral is the opposite of a derivative, and therefore is often called an antiderivative. While with a differentiation problem, you need to find a derivative, if you are solving an integral you are already given a derivative and your goal is to revert it back to it\’s common form.
Example: The derivative of 2x is 2. The antiderivative or integral of 2 would be 2x.
You should already have several derivatives memorized. This makes starting to solve integrals much easier, because if you have the derivative memorixed all you need to ask yourself is \”what is that a derivative of?\” and you have your answer. For reference, the integral symbol looks like a very stretched out S symbol, which is supposed to be an italic I.
