Integration (Not in Base Package)

Calculates both the function values and the integral of a 1D function between start and end. The function is defined by a formula. The number of points to be calculated depend on the complexity of the given function. Details

start is the start point of the interval. The default is 0.0.
end is the end point of the interval. The default is 1.0.
formula is a string describing the function under investigation. You can use any valid symbol as the variable name. Refer to Formula VI Variables for valid symbols.
X Values is the array of all regarded points in the interval (start, end).
Y Values are the values of the function.
Integral of Y are the values of the integral of formula between start and end at all X Values values.
ticks is the time in milliseconds to analyze the formula and to produce the X Values array and the Integral of Y array.
error indicates the accuracy of formula, which is verified by the Function VIs.

Integration Details

Let f(t) be the given function. The calculation of

can be reformulated as an ordinary differential equation,

The algorithm is based on this reformulation. The Runge Kutta method is used for accuracy.