Question: 2.19 The LeGendre polynomials may be defined as the orthogonalization of the basis {1, t, t2 , } for the space of polynomials in

2.19 The LeGendre polynomials may be defined as the orthogonalization of the basis {1, t, t2

, ••• } for the space of polynomials in t, defined on t e [ -1, 1] , using the inner product I

(!,g)= J f(t)g(t) dt

-I Find the first four such LeGendre polynomials.

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