Category Archives: Integration Techniques

Differentiation Under the Integral Sign

1. Sometimes we work with tricky integrals. For example, consider the integral (1). What is ??? We can evaluate (1) directly as (2). Thus its derivative is (3). But what about the general case?

Posted in Calculus, Differential, Integral, Integration Techniques | 2 Comments

Integration Technique #2: Integration By Parts

1. Try performing the following integral (1) ??? You cannot do this (easily) with the techniques we’ve discussed so far. So lets introduce a new one: integration by parts.

Posted in Calculus, Integral, Integration Techniques | 5 Comments

Integration Technique #1: Substitution

1. Try integrating (1)??? It’s kind of hard, so we try to do something very clever: use the chain rule.

Posted in Calculus, Definite Integral, Integral, Integration Techniques | 3 Comments