Substitution Method of Integration
The Substitution Method of Integration or Integration by Substitution method is a clever and intuitive technique used to solve integrals, and it plays a crucial...
Calculus
Partial Fraction Decomposition
Partial Fraction Decomposition is a technique used to make integration simpler, by decomposing a hard to integrate function into the sum of several functions that...
Calculus Tutorials
In this page you will find all the Calculus Tutorials in our site. Do you have any suggestion of topics you would like to see...
Math Cracks – What is a Derivative, Really?
It seemed important to me to go over the concept of derivative of a function. The process of differentiation (this is, calculating derivatives) is one...
Functions: What They Are and How to Deal with Them
The concept of function is extremely important and it is absolutely omnipresent in Math. That is why we need to give it a good brush...
Math Cracks – A Cool Approach to Integration by Parts
Introduction The idea of integration by parts sounds quite scary for many Calculus students, and I think there is a good reason for that. First...
Who Needs Precalculus Help?
The study of pre-calculus will better prepare you for the study of calculus, which is required of most high school students. It deals with the...
The Basic Concept of Derivatives
Imagine you have a function \(f(x)\). For example you could have something like \(f(x) = x^2\) or maybe something like \(f(x) = \sin x\). We...
More About Derivatives (Part 2)
Notation: The derivative \(f'(x)\) of a function \(f(x)\) is also denoted as \[\frac{df}{dx} (x)\] This notation comes from the fact that when you compute the...
More About Derivatives
On the second part of this tutorial, we'll work on some other slightly more complicated examples. Example: Given the function \(f(x) = x^3 + 2x+1\),...