There is a special integration “formula” that you can use to integrate products of Physics and engineering functions:
eax sin bx cos cx
,where a, b and c are constants.
$$\int f \, g = \frac{f\, g^{\prime}-f^{\prime}\, g}{u-v} + C$$
, where $f^{\prime \prime} = vf$ and $g^{\prime \prime} = ug$, $u \neq v$
Note that if u = v, this formula cannot be used. (It hardly happens)
