What is the area of a region bounded by the curve $y=e^x$ and the
lines $y=1$ and $x=1$?
When $x=1$, $y=e$. When $y=1$, $x=0$.
I tried to find the area by saying that $A=\int^1_0 e^x dx= e – 1$.
However, the correct area is $e-2$. What am I doing wrong?
Best Answer
You omitted that fact that the region, let's call it $R$ is limited below by $y=1$.
So you need to substract $\int_0^1 1 \ dx = 1$ to your result.