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6.8.8  The sine integral function: Si

The sine integral function is defined by

Si(x) =
x


0
 
sin(t)
t
 dt 

and Si(0) = 0, Si(−∞) = −π/2 and Si(+∞) = π/2. Note that Si is an odd function.

The Si command computes the sine integral function.


Example.
Input:

Si(1.0)

Output:

0.946083070367

Input:

Si(-1.0)

Output:

−0.946083070367

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