Step $2$

Let's set $up$ the integral that will give $us$ the area $of$ the region that $is$ bounded between $y=36-x^2$ and

$y=x^2-14.$

When $we$ set $up$ the integral, should $we$ integrate with respect $toxor$ with respect $toy?$

Since the narrow width $of$ the typical approximating rectangle $is$ parallel $to$ the $y-$axis, $we$ should

integrate with respect $toy.$

Since the height $of$ the typical approximating rectangle $is$ parallel $to$ the $x-$axis, $we$ should integrate

with respect $tox.$

Since the height $of$ the typical approximating rectangle $is$ parallel $to$ the $y-$axis, $we$ should integrate

with respect $toy.$

Since the narrow width $of$ the typical approximating rectangle $is$ parallel $to$ the $x-$axis, $we$ should

integrate with respect $tox.$

The points $of$ intersection will give $us$ the indices $of$ integration. What are the indices $of$ integration? Enter

your answers $as$ a comma separated list.