In this lab, we explore ways to approximate definite integrals which cannot be integrated using the Fundamental Theorem of Calculus. Use Python to solve each problem. 1. Given the integral Integral Ji et/2 3. (a) Plot the function on the domain x [1, 5). (b) Recall the Left Endpoint Riemann Sum from 151: 1 s(x) dx = f(x-1)A. i=1 b - a where Ar = "and ti = a +i Ar. This is easy to compute in Python: n i. Define a list x from a (inclusive) to b (exclusive) with stepsize A.c. ii. Define a list y = f(x). iii. Sum the list y and multiply by Ar. Compute the Left Endpoint approximation using n = 100 subintervals