I'm trying to understand a graph in my textbook. I'm introduced to the Fresnel function which is this:
$$\int_0^x \sin(\pi \cdot t^2 / 2) dt$$
vs this function:
$$\sin(\pi \cdot t^2 / 2)$$
These are supposed to be the graphs:
At $x = 1$, how is S less than f if S is supposed to be the integral? Shouldn't it definitely be bigger than f at $x = 1$?