# integral

Syntax

integral(func, start, end, [start2], [end2])

Arguments

func is a unary function.

start is a numeric scalar/vector indicating start value. Null means negative infinity.

end is a numeric scalar/vector indicating end value. Null means positive infinity.

start2 is a numeric scalar/vector/unary function indicating the start value of the second dimension in double integral. Null means negative infinity.

end2 is a numeric scalar/vector/unary function indicating the end value of the second dimension in double integral. Null means positive infinity.

If both start and end are vectors, they must be of the same length.

If one of start and end is a scalar and the other is a vector, the scalar is treated as a vector of idential values.

Details

Return the integral of func from start to end.

If the result is infinity or if the calculation involves complex numbers, the result is Null.

Examples

```\$ integral(abs, -10, 10);
100

\$ integral(acos, [0.1, -0.10], [0.3, 0.10]);
[0.273816,0.314159]

\$ integral(acosh, [1, 2, 9, 9], 10);
[19.982354,19.080489,2.941187,2.941187]

\$ integral(pow{,3}, 5, 9);
1484

\$ integral(abs, NULL, NULL);
00F

\$ def f(x1,x2){
\$    fx=100*(x2-x1*2)+square(1-x1)
\$    return fx
\$ }

\$ integral(f,0,1,7,1)
-1802

\$ integral(f,[0,1,2,3],7,2,[0,1,2,3])
[8255.333333, 8256, 7856.666667, 7061.333333]
```