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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.