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7.3.8  Sine integral function

The sine integral function is defined by

Si(x)=
x


0
 
sin(t)
t
 dt

It can be shown that 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

Si(1.0)
     
0.946083070367           
Si(-1.0)
     
−0.946083070367           

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