Question $5$

$8pts$

Evaluate the following using a trigonometric substitution. $Be$ sure $to$ draw the right triangle and express

your final answer $in$ terms $ofyas$ much $as$ possible.

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{\sqrt[\phantom{2}]{f(y)}}{g(y)}dy$ where $f(y)=y^2-36$ and $g(y)=y^3.$