integrals

integrals is a Python library for using numerical methods to approximate definite integrals.

Installation

Use the package manager pip to install integrals.

pip3 install integrals

Usage

fromintegralsimportRiemann, Trapezoid, Simpsonfromnumpyimportexpf=lambdax:exp(x**2)
riemann=Riemann(f)
print(riemann.compute_integral(-1, 3, 30, 'midpoint')) # Computing the integral of f(x) using 'Riemann midpoint sum' from -1 to 3 with 30 sub-intervals.trapezoid=Trapezoid(f)
print(trapezoid.compute_integral(-1, 3, 30)) # Computing the integral of f(x) using 'trapezoid rule' from -1 to 3 with 30 sub-intervals.simpson=Simpson(f)
print(simpson.compute_integral(-1, 3, 30)) # Computing the integral of f(x) using 'Simpson's rule' from -1 to 3 with 30 sub-intervals.riemann.plot_function() # Plots the function and shows the Rieman's sum rectanglestrapezoid.plot_function() # Plots the function and shows the trapezoidssimpson.plot_function() # Plots the function and shows the sectors

Riemann

Trapezoid	Simpson

Contributing

Pull requests are welcome. For major changes, please open an issue first to discuss what you would like to change.

Please make sure to update tests as appropriate.

License

MIT