Homework 4
Mathematica was used for solution in all questions.
Question 1:
Figure 1: Graph of Legendre Polynomial n=10 as function of x. Plotted with Mathematica .
Question 2:
Figure 2: Legender Polynomials for n=1...10 at x=0.66
Figure 3: Derivative of Legender Polynomials for n=1....10 at x=0.66
Question 3:
Calculate the integral: 
I choose to calculate this integral in Mathematica, because it is one of the best tools for symbolic calculations.
