Numerical Analysis, Numerical Integration.
2n+1=3), and its integral over the bounds [-1,1] is valued at (8/3) or roughly 2.66 repeating. The degree 2 Legendre Polynomial (in this case n+1=2) over the bounds [-1,1] is calculated to be x²-(1/3). This Legendre Polynomial can be calculated through the Gram-Schmidt Orthogonalization process,