Algosim documentation: ∫

∫ (integral)

Performs numerical integration.

Syntax

Description

performs numerical integration of a real-valued function of a single real variable on a finite interval.

Notes

If the optional resolution argument Δ isn’t specified, the resolution is chosen so that the interval will be divided into 100 000 parts of the same width. Hence, the default value of Δ is abs(b − a) / 100000.

Decreasing Δ might improve the accuracy of the computed definite integral, but it will always make the computation take longer to complete.

Examples

∫(x^2, x, 0, 1)
0.33333333335
∫(sin(x), x, 0, π)
1.99999999984
∫(sech(x), x, −100, 100)
3.14159265359	(=π)
∫(e^−(x^2), x, −10, 10)
1.77245385091	(=√π)
2⋅∫(√(1−x^2), x, −1, 1)
3.14159254841
∫(x^2, x, 0, 1, 1/10000000)
0.333333333333

See also