As always, a self contained ipynb solutions should be uploaded to Canvas along with a pdf copy. Each Question shall be clearly displayed inside the same notebook. Headers and formating will be graded
Design a program that takes in a function $f(x)$, calculates both the right and left Riemann sums for a user inputted number of divisions $n$ over a user inputted interval $[a,b]$. You should also produce a single graph clearly illustrating both the right and left sums.
Design a program that takes in a user defined function $f(x,y)$ that approximates
$$ \int_a^b\int_c^d f(x,y) \,dx \,dy $$for user defined $a,b,c,d \in \mathbb{R} $