The quadplots
program is an educational utility to create visualizations of basic quadrature methods. The current methods supported are Riemann sum (left, right, mid, max, min), Trapezoid rule, and Simpson's rule.
Basic usage of quadplots only requires an expression you want to graph (must be valid python), and the start and end points.
quadplots "x**2 - 3*x + 1" -2 3
By default quadplots will graph a riemann sum with n=10 and use the midpoint method, but you can easily change these options.
quadplots "x**2 - 3*x + 1" -2 3 --method min --partitions 5
You can also change the type of quadrature method used
quadplots "x**3 - 8*x + 7" -2 3 --method min --partitions 4 --quad-type simpson
If you want, instead of python functions, you can write latex by adding the --latex
flag to the command.
quadplots "\exp{-x^{2}}" -2 4 --partitions 4 --quad_type simpson --latex
Finally, if you wish to animate the plot, you can pass --animate
with a list of partitions you would like to see at each frame.
quadplots "\exp{-x^{2}}" -2 4 --partitions 4 --quad_type simpson --latex --animate 2 4 6 10 100