I am wondering ifmy curves look like
$y=9-x^2, z=x^2-3x$
for area between curves, why isit just
$\int^{3}_{-3/2}(9-x^2)-(x^2-3x) dx$
I don’t care if there’s a change of sign?
I am wondering ifmy curves look like
$y=9-x^2, z=x^2-3x$
for area between curves, why isit just
$\int^{3}_{-3/2}(9-x^2)-(x^2-3x) dx$
I don’t care if there’s a change of sign?
Think what would happen if you added a constant, say $5$, to both $y$ and $z$.
Alternatively, imagine the area made up of rectangles with infinitesimal width, calculate the lengths of those rectangles in terms of $y$ and $z$, and check whether anything changes about that when one of the functions changes sign.