When working with fractions, we often find common denominators in order to be able to add and subtract fractions, to…

Due to how triangles and circles interact with trigonometric functions, there are a number of substitutions we can make using…

Trigonometric functions appear in the natural world frequently, so understanding how to integrate them is essential to solving real problems.…

We saw that substitution rule helps us solve chain rule related derivatives with relative ease. Integration by parts is a…

When evaluating integrals, it is often helpful to make substitutions to help see patterns in functions. We often apply this…

The fundamental theorem of calculus will allow us to formally link together differential and integral calculus. The fundamental theorem of…

In the previous article, we discussed the idea of finding the area under a curve by adding rectangles. At the…

The fundamental problem that integral calculus seeks to solve involves area. For many applications, we need to be able to…

After learning derivatives, it is natural to wonder if there is some inverse operation, a way to get a function…

Here is an index to access any Integral Calculus articles. 1.0: Integrals 1.1 Antiderivatives 1.2 Areas and Distances 1.3 The…