sinint

Sine integral Si(x).

Category: Mathematics > Mathematical Functions

Syntax

Y = sinint(x)

Description

The sine integral is Si(x) = integral(sin(t)/t, t, 0, x). It is an odd function that tends to pi/2 as x goes to infinity, oscillating around that value before settling, which is the overshoot seen in the Gibbs phenomenon.

Input arguments

x

Real or complex scalar or array.

Output arguments

Y

Values of the function, with the size of x.

Example

Values and limits

sinint([0 1 10 Inf])
sinint(-1)

ans = 1×4

         0    0.9461    1.6583    1.5708
ans = -0.9461

See also

ssinint sinhint cosint expint