Wants to show that mathematics is really a subject of wonderful ideas and relationships between seemingly unconnected concepts.

Generally speaking a function and its inverse cancel each other out (when performed one after the other), but there is a very important assumption that is often overlooked: that the domain and range of the…

Suppose that you are asked to find

Since we can integrate fractions if the denominator is linear, we split the integrand:

The discriminant of a quadratic is very useful when finding the solution directly is not required and/or is too algebraic intensive.