That curve is a cubic. Therefore its integral will be a quartic. Where the graph passes through 0 the integral will be stationary. Where the graph is below the x-axis, the integral is falling, and where the graph is above the axis the integral is rising. The further above/below the axis, the faster the integral is rising/falling. The integral will look something like the attached (though it could be anywhere, as per the +c of integration). f'(x) is drawn in black, and the integral in red. It's very bumpy, but both red and black lines are meant to be smooth.
I_F
