Skip to main content

Calculate area under curve

Project description

  • Version 1.0.1
  • Python 2.7/3.5+ module to calculate riemann sum area under a curve
  • Copyright 2017 Steven Mycynek
  • Supports
    • simpson, trapezoid, and midpoint algorithms,
    • n-degree single variable polynomials, including fractional exponents,
    • variable step size

USAGE = """ -p|--poly {DegreeN1:CoefficientM1, DegreeN2:CoefficientM2, ...}... -l|--lower <lower_bound> -u|--upper <upper_bound> -s|--step <step> -a|--algorithm <simpson | trapezoid | midpoint>

  • This was just a fun experiment I did on a couple airplane rides and might not be suitable for production use.
  • Try a simple function you can integrate by hand easily, like f(x) = x^3 from [0-10], and compare that to how accurate the midpoint, trapezoid, and simpson approximations are with various steps sizes.
  • Why not use numpy? You probably should, but I wanted to do everything from scratch for fun.


python --polynomial {3:1} --lower 0 --upper 10 --step .1 --algorithm simpson


import area_under_curve as auc

algorithm = auc.get_algorithm("simpson")

bounds = auc.Bounds(0, 10, .1)

polynomial = auc.Polynomial({3:1})

params = auc.Parameters(polynomial, bounds, algorithm)

AREA = auc.area_under_curve(params.polynomial, params.bounds, params.algorithm)


Also try out and

Project details

Download files

Download the file for your platform. If you're not sure which to choose, learn more about installing packages.

Files for area-under-curve, version 1.0.1
Filename, size File type Python version Upload date Hashes
Filename, size area_under_curve-1.0.1-py2.py3-none-any.whl (7.4 kB) File type Wheel Python version py2.py3 Upload date Hashes View hashes
Filename, size (12.5 kB) File type Source Python version None Upload date Hashes View hashes

Supported by

Elastic Elastic Search Pingdom Pingdom Monitoring Google Google BigQuery Sentry Sentry Error logging AWS AWS Cloud computing DataDog DataDog Monitoring Fastly Fastly CDN SignalFx SignalFx Supporter DigiCert DigiCert EV certificate StatusPage StatusPage Status page