Let \( \int_{0}^{\infty} \frac{\sin x}{x} d x=\alpha \). Then match...
Let \( \int_{0}^{\infty} \frac{\sin x}{x} d x=\alpha \). Then match the following lists and choose the correct code.
\begin{tabular}{|l|l|}
\hline \multicolumn{1}{|c|}{ List I } & List II \\
\hline a. \( \int_{0}^{\infty} \frac{\sin (5 x)}{x} d x= \) & p. 0 \\
\hline b. \( \int_{0}^{\infty} \frac{\sin ^{2} x}{x^{2}} d x+\alpha= \) & q. \( \alpha \) \\
\hline c. \( \int_{0}^{\infty} \frac{\sin ^{3} x}{x} d x= \) & r. \( \alpha / 2 \) \\
\hline d. \( \int_{0}^{\infty} \frac{\sin \left(k_{1} x\right) \cdot \cos k_{2} x}{x} d x-\alpha=\left(\right. \) where \( \left.k_{1}k_{2}0\right) \) & s. \( 2 \alpha \) \\
\hline
\end{tabular}
Codes:
\( \begin{array}{llll}\text { a } & b & c & d\end{array} \)
(2) \( \quad \mathrm{p} \quad \mathrm{q} \quad \mathrm{s} \quad \mathrm{q} \)
(3) \( s \quad p \quad q \quad r \)
(4) \( \begin{array}{lllll} & \mathrm{s} & \mathrm{r} & \mathrm{p}\end{array} \)
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