Unlocking Calculus. Getting started on Integrals. The Integral. What is it? The area underneath a curve Why is it useful? It helps in Physics, Chemistry, Engineering Total energy of a system, total force, mass … It is one step closer to Truth!. Sir Isaac Newton (1642-1727).
Getting started on Integrals
These are just a few examples
So, there’s a rule to handle such common functions.Addition of Functions
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(in words) The integral from a to b of the function [g(x)+h(x)] with respect to xisthe integral from a to b of g(x) with respect to xplusthe integral from a to b of h(x) with respect to x.
OR the integral of a sum is the sum of the integrals (and vice versa)Addition Rule
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Remember, mastering the basics is the key to unlocking Calculus (and everything else)The “End”