COSC 120    Homework 2/14/2017

Distributed: 2/14/2017     Due: 7 March 2017

1.  Find the approximate area under the curve f(x) = 3x^3 + 2x^2 + 1 over the range 0 <= x <= 10,
using python to implement the rectangle approximation (Reimann sum).
Find the approximate area for 20 samples.

2.  Find the approximate area under the same curve and x range as in (1) 
using python and Monte Carlo method. 
Generate 1000 points.  
Use the bounding box 0 <= x <= 10, 0 <= y <= f(10)

Demo and turn in hardcopy.