Hello guys so I needed help with a problem which is:
Let $S$ be the solid with ﬂat base, whose base is the region in the $xy$-plane deﬁned by the curves $y=e^x$, $y=−2$, $x=1$ and $x=3$, and whose cross-sections perpendicular to the $x$-axis are equilateral triangles with bases that sit in the $xy$- plane.
Find the area $A(x)$ of the cross-section of $S$ given by the equilateral triangle that stands perpendicular to the $x$-axis, at coordinate $x$
The main problem I am having with this question is setting up the integral, I have not dealt with equilateral triangle and cross sections before so I am having a little trouble. Any help would be appreciated. Thanks in advance.