This is an Integral Calculator I wrote after learning about the Monte-Carlo Integration method in my AI class.
You must have Python 3.x installed. You will also need numpy and matplotlib installed via pip.
Given the limits of integration, the number of subdividing rectangles, and the function to integrate, it prints the results of different integration techniques. Additionally, it displays a histogram of the frequencies of different yielded results from the Monte-Carlo technique.
For example, given this input:
Welcome to the Numerical Integral Calculator!
Initial Limit of Integration:
1
Final Limit of Integration:
3
Number of Rectangles:
1000
Enter the function you want to integrate (pythonic form):
sin(x) + (x ** 2)/exp(x)
The output will look like:
Monte-Carlo Integral: 2.514052366092158
Left Reimann Sum: 2.5239313103628587
Middle Reimann Sum: 2.5221315015652013
Trapezoid Reimann Sum: 2.5233111635602508
Right Reimann Sum: 2.522691016757641
Unfortunately, the reciprocal and inverse reciprocal trig functions are not supported right now.
After downloading the code, run:
python integralCalculator.pyKevin Karnani