File:Integration trapezoid.svg

Description	Numerical integration by the Trapezoidal Method. The function being used is .
Date	2010-11-04 06:29 (UTC)
Source
Author	derivative work: Kpengboy ( talk)

I, the copyright holder of this work, hereby publish it under the following license: Public domainPublic domainfalsefalse I, the copyright holder of this work, release this work into the public domain. This applies worldwide. In some countries this may not be legally possible; if so: I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law. Public domainPublic domainfalsefalse

Gnuplot Script Used

# SVG output
set terminal svg size 340 102
set output "Integration_trapezoid.svg"
set samples 1000

# Configure border, axes, etc.
unset key
set xrange [-2:2]
set yrange [-1.5:4.75]
set border 3 lt 1 lc rgb "black"
set grid
set xtics autofreq 1
set ytics autofreq 2

# Define our function
f(x) = x**2 + sin(2*pi*x)

# Draw trapezoids
set for [i = 0:15] object i+1 polygon from -2+.25*i,0 to -2+.25*(i+1),0 to -2+.25*(i+1),f(-2+.25*(i+1)) to -2+.25*i,f(-2+.25*i) to -2+.25*i,0 fs empty border lt 3

# Plot
plot f(x)

• Numerical integration