How to Master All the Properties of Definite Integrals
TL;DR: Definite integrals come with a small toolkit of properties that save you a lot of time. You have linearity (constants and sums pull through), additivity over intervals (split a long integral into shorter ones), reversal of bounds (swap the limits, flip the sign), and zero-width intervals (which are simply zero). Knowing these lets you […]
Integrals Made Easier Using Tables: A Complete Explanation And Examples
TL;DR: Sometimes the fastest way to evaluate an integral is to look it up. Integration tables are organized lists of pre-solved antiderivatives sorted by form. Your job is to match your integrand to a table entry — sometimes after a quick substitution to make it fit — and then read off the result. Tables save […]
