Is there a constant $C$ which is independent of real numbers $a,b,N$, such that
$$\left| {\int_{-N}^N \dfrac{e^{i(ax^2+bx)}-1}{x}dx} \right| \le C?$$
Is there a constant $C$ which is independent of real numbers $a,b,N$, such that
$$\left| {\int_{-N}^N \dfrac{e^{i(ax^2+bx)}-1}{x}dx} \right| \le C?$$