Integration's Applications and Methods
Integrals(also known anti-derivatives) have many useful functions within the wonderful world of math. It can be used to find displacement and velocity equations, the area between curves, the volume of a shape rotated around an axis, and average value of a curve. There are few methods used in order to work through some of the difficulties that integration implies.
Commonly known as a "U Substitution" because the variable U is frequently used, substitution is a method used to solve some of the more complex integrals, and is necessary in many instances due to the lack of quotient and product rules.
While an integral can be used to find the area of a bounded area, it can also be used to find the volume of a bounded area as it is rotated around an axis. This axis is known as the axis of rotation, and it can be vertical, horizontal, and sometimes oblique.
Ever since Mrs. Rowe's class, trig functions have terrified us. That link below will help you figure out how to trig with integrals and may even help your future career.
Table of Values
Were you just handed a spooky looking table of values and were told to integrate it? Have no idea what that means and are crying because you can't remember how Mr. Moyer taught this? Click that link and expand your little mind.
Exponential and Logarithmic Functions
Logs just have to ruin every math party don't they? Learn how to deal with these annoying functions by clicking that link and listening to Will's soothing voice.