Category: Integrals (Page 2 of 5)

Today’s quiz consisted of a single indefinite integral with several guiding questions on navigating the process of Partial Fraction Decomposition.

Note: Strictly speaking, partial fraction decomposition is a technique that is not specific to the task of integration.

Instead of having a quiz today, we discussed a few problems from Thursday’s exam. The first problem we looked at was the indefinite integral: \(\int x^2 e^{4x}\,dx\). It is crucial to develop an intuition for the choice between u-substitution and integration by parts. This integral does not have a simplifying u-substitution, which can be difficult to determine if you haven’t been practicing your antiderivative skills on the homework.