Virtual Lessons: Trigonometric Integrals

When integrating products of trigonometric functions, the general practice involves applying the trigonometric versions of the Pythagorean Theorem such as 

\(\texttt{sin}^2(\theta)+\texttt{cos}^2(\theta)=1\)    or    \(\texttt{tan}^2(\theta)+1=\texttt{sec}^2(\theta)\)

in conjunction with an appropriate u-substitution. If the powers both even then you may need to consider applying a Power Reduction Identitiy (Half-Angle Idenitty). 

\(\texttt{sin}(2\theta)=\frac{1-\texttt{cos}(2\theta)}{2}\)    or  \(\texttt{cos}(2\theta)=\frac{1+\texttt{cos}(2\theta)}{2}\)