# 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.