I am trying to find the area of a shaded area for the equations $x = y^2 - 2$ and $x = e^y$
The range in from y = -1 to y = 1
This tells me that I need to find
$$\int_{-1}^{1}y^2 - 2$$ and $$\int_{-1}^{1}e^y$$
$$\int_{-1}^{1}y^2 - 2$$ is $y^3/3 - 2y$ = $-10/3 $ Which is wrong so I am guessing I am suppose to do absolute value so I magic it to $10/3$
$$\int_{-1}^{1}e^y$$ is $e^y$ = $2.71... - .3678...$
Which is obviously wrong and so is the answer I get.