Monthly Archives: January 2016

The goal of using substitutions is to simplify the integral. A good substituion can solve it faster. Generally, we want to reduce the power or simplify into a ploynomial. Here are some tips on how to make a substitution in … Continue reading →

Functions with finitely many removable discontinuities are integrable. Let f(x) be a defined function on [a, b]. This function has N removable discontinuity, where N is a finite positive integer. We partition [a, b] into n subintervals of width (b-a)/n. … Continue reading →