integrals is a Python library for using numerical methods to approximate definite integrals.
Use the package manager pip to install integrals.
pip3 install integralsfrom integrals import Riemann, Trapezoid, Simpson
from numpy import exp
f = lambda x: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 rectangles
trapezoid.plot_function() # Plots the function and shows the trapezoids
simpson.plot_function() # Plots the function and shows the sectors| Riemann |
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| Trapezoid | Simpson |
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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.