Which of the following values of a, b, c and d will produce a quadrature formula
\(\displaystyle\int_{−1}^1\) f(x) dx ≈ af(−1) + bf(1) + cf'(−1) + df'(1)
that has degree of precision 3?
1
a = 1, b = 1, c = \(\frac{1}{3}\), d = \(−\frac{1}{3}\)
2
a = −1, b = 1, c = \(\frac{1}{3}\), d = \(−\frac{1}{3}\)
3
a = 1, b = 1, c = \(−\frac{1}{3}\), d = \(\frac{1}{3}\)
4
a = 1, b = −1, c = \(\frac{1}{3}\), d = \(−\frac{1}{3}\)