Evaluates Si(z), the Sine Integral.
SININT(z)
z |
- |
A scalar or series, the integration limit. |
A scalar or series, the value of Si(z),
the integration of
sinint(1)
returns 0.946083 the value of:
sinint(1 + i)
returns 1.104223 + 0.882454i.
sinint(-10..0.01..10);
xlabel("$x$");ylabel("$\operatorname{Si}(x)$");label("Sine Integral");
returns 2001 samples of Si(x)
with integration limits from
W1: 0.01..0.01..10
W2: sinint(W1)
W3: integ(sin(w1) / w1)
W2 contains the sine integral and W3 computes an approximation by directly
integrating
The Sine Integral, Si(z), is defined as:
The input z may be complex.
for real(z) > 0 and where Ei(z) is the Cauchy principal value exponential integral implemented by EXPINTEI.
See COSINT to evaluate the Cosine Integral.