MATH2202_Integration_Project

Project for extra credit in math 2202.11

Required libraries: pip to install the libraries

curl https://bootstrap.pypa.io/get-pip.py -o get-pip.py

python get-pip.py

https://www.geeksforgeeks.org/how-to-install-pip-on-windows/

mpmath

pip install mpmath

https://github.com/fredrik-johansson/mpmath#1-download--installation

sympy

pip install sympy

https://pypi.org/project/sympy/

scipy and numpy (scipy install will grab numpy automatically)

pip install scipy

https://scipy.org/install/

List of (most) sources referenced/used: https://towardsdatascience.com/taking-derivatives-in-python-d6229ba72c64 https://docs.sympy.org/latest/explanation/gotchas.html https://math.stackexchange.com/questions/114310/how-to-find-error-bounds-of-trapezoidal-rule https://stackoverflow.com/questions/10146924/finding-the-maximum-of-a-function https://stackoverflow.com/questions/19244527/scipy-optimize-how-to-restrict-argument-values https://stackoverflow.com/questions/58887346/how-to-find-maximum-from-given-function-with-given-range-in-python https://stackoverflow.com/questions/18965195/find-minimum-and-maximum-values-of-a-function https://stackoverflow.com/questions/10146924/finding-the-maximum-of-a-function https://stackoverflow.com/questions/54182529/algorithms-to-find-min-max-of-a-single-variable-function-in-fixed-domain https://docs.scipy.org/doc/scipy/reference/generated/scipy.optimize.fmin.html https://docs.scipy.org/doc/scipy/reference/generated/scipy.optimize.minimize_scalar.html#scipy.optimize.minimize_scalar https://docs.scipy.org/doc/scipy/reference/generated/scipy.optimize.OptimizeResult.html#scipy.optimize.OptimizeResult https://docs.scipy.org/doc/scipy/reference/generated/scipy.optimize.minimize.html https://docs.sympy.org/latest/modules/utilities/lambdify.html https://www.math.cmu.edu/~mittal/Recitation_notes.pdf https://www.interviewkickstart.com/learn/python-exit-commands