Sine Integral Function of Zero
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Theorem
- $\map \Si 0 = 0$
where $\Si$ denotes the sine integral function.
Proof
By Sine Integral Function is Odd, $\Si$ is an odd function.
Therefore, by Odd Function of Zero is Zero:
- $\map \Si 0 = 0$
$\blacksquare$
Sources
- 1968: Murray R. Spiegel: Mathematical Handbook of Formulas and Tables ... (previous) ... (next): $\S 35$: Sine Integral $\ds \map \Si x = \int_0^x \frac {\sin u} u \rd u$: $35.13$