Checked content

File:Integration rectangle.svg

Description Numerical integration by Riemann sums. The function being used is f(x) = x^2 + sin(2\pi x).
Date 2010-11-04 06:17 (UTC)
  • derivative work: Kpengboy ( talk)
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Gnuplot Script Used

# SVG output
set terminal svg size 340 110
set output "Integration_rectangle.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 rectangles
set for [i = 0:15] object i+1 rect from -2+.25*i,0 to -2+.25*(i+1),f(-2+.25*(2*i+1)/2) fs empty border lt 3

# Plot
plot f(x)
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