Show that the Legendre polynomials P1 and P2 are orthogonal by explicit integration. Also show that...

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Show that the Legendre polynomials P1 and P2 are orthogonal byexplicit integration. Also show that when (P2)^ 2 is integratedover the full range of integration, the result is 2 /(2l+1) , wherel is the order of the polynomial.

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