pracma (version 1.2.0)

trapz: Trapezoidal Integration

Description

Compute the area of a function with values y at the points x.

Usage

trapz(x, y)

Arguments

x

x-coordinates of points on the x-axis

y

y-coordinates of function values

Value

• Approximated integral of the function from min(x) to max(x).

Details

The points (x, 0) and (x, y) are taken as vertices of a polygon and the area is computed using polyarea.

This approach matches exactly the approximation for integrating the function using the trapezoidal rule with basepoints x.

See Also

polyarea

Examples

# Calculate the area under the sine curve from 0 to pi:
  x <- seq(0, pi, len=101)
  y <- sin(x)
  trapz(x, y)  #=> 1.999836