Meaning of area under a acceleration vs mass curve

[brosaba]

If I graph acceleration vs mass for constant force but variable mass experiment, shouldn't the area under the curve be the force? How do i determine the constant force from the graph?

 

[Delta2]

The area under the curve is not the force. The area equals the integral $\int {\frac{F}{m}dm}$.

In general when you make a graph of a function f(x) vs x then the area under the curve is NOT xf(x) it is rather the integral $\int f(x)dx$