# area-under-curve Release 1.0.6

Calculate area under curve

Keywords
riemann-sum, calculus, python
MIT
Install
``` pip install area-under-curve==1.0.6 ```

# area_under_curve

• Version 1.0.6

• Python 3.7+ module to calculate riemann sum area under a curve

• Supports

• simpson, trapezoid, and midpoint algorithms,
• n-degree single variable polynomials, including fractional exponents,
• variable step size
• https://pypi.python.org/pypi/area-under-curve

`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.

## examples:

`python3 area_under_curve.py --polynomial {3:1} --lower 0 --upper 10 --step .1 --algorithm simpson`

or:

`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)`

`print(str(AREA))`

Also try out `unit_test.py` and `demo.py`.

Use `poetry install` and `poetry shell` for a python3 environment with dev dependencies.