Hello, I had to find the area of M with M :={(x,y) ∈ IR² | x²+(e^x + y)^2 <= 1 }. I did this on a paper and got v(M) = Pi. I wanted to verify my solution by using Mathematica. I was able to plot the area with

RegionPlot[{x^2 + (Exp[x] + y)^2 <= 1}, {x, -2, 2}, {y, -4, 2}]

I also was able to find the limits of integration with

Reduce[x^2 + (Exp[x] + y)^2 <= 1]

But unfortunately, I am unable to directly calculate the area. Commands like

Area[{x^2 + (Exp[x] + y)^2 <= 1}, {x, -2, 2}, {y, -4, 2}]

just gives me the result 0.

Integrate[{x^2 + (Exp[x] + y)^2 <= 1}, {x, -2, 2}, {y, -4, 2}]

just prints the Integral but does not evaluate it.

Can anyone help me please?