Copied Evaluate \[ \int _{-\infty }^{\infty } e^{ix^2}\,dx \] \[ \int _0^\infty \frac {\sin x}{x}\,dx. \] Raw LaTeX Evaluate \begin{enumerate} \item[(a)] \[ \int_{-\infty}^{\infty} e^{ix^2}\,dx \] \item[(b)] \[ \int_0^\infty \frac{\sin x}{x}\,dx. \] \end{enumerate} Topic Tags Fourier Transform and Sampling Theory Linear Programming and Optimization Real Integral Evaluation by Complex Methods