Integral of the table-defined function

		`\| Vector \|`
`in the palette`	`on the schematic`	`\| Vector \|`

The block is vectorized, implements the calculation of integrals from table-defined functions by the trapezoidal method:

where x is the numerical vector of the independent variable; x_min, x_max are the minimum and maximum values of the independent variable, respectively; u(x) is the numerical vector of the values of the function.

Inputs

input_0 - the input for an array of arguments of table-defined functions, dimension n_point;
input_1 - the input for table-defined functions, dimension n_point×n_fun.

Outputs

output - the integral value. The signal dimension is n_fun.

Properties:

Number of function points – a natural number n_point≥2, sets the number of points in the table by an independent argument and the dimension of the first input signal.
Number of functions – a natural number n_fun≥1, sets the number of functions and, together with the number of points, determines the dimension of the second input signal. Thus, it is possible to simultaneously calculate the integral of several functions defined at the same points by an independent argument. The dimension of the output signal is equal to n_fun.

Parameters

none

Прим.:

The dimension of the output signal is always equal to the number of functions. The block generates a scalar output signal at n_fun=1.
Named properties can be set as local model variables (submodels) in a programming language script, as global project signals using the Tools → Signals main menu item, or as external project signals using an attachable signal database.