Section: Engineering Mathematics | Marks: 1
If the quadrature formula ∫𝑓(𝑥)𝑑𝑥 1 −1 ≈1 9 (𝑐1𝑓(−1) + 𝑐2𝑓(1 2) + 𝑐3𝑓(1)) is exact for all polynomials of degree less than or equal to 2, then
- A. 𝑐1 + 𝑐2 4 + 𝑐3 = 6
- B. 𝑐1 + 𝑐2 3 + 𝑐3 = 4
- C. 𝑐1 + 𝑐2 2 + 𝑐3 = 2
- D. 𝑐1 + 𝑐2 + 𝑐3 = 5
Answer: A. 𝑐1 + 𝑐2 4 + 𝑐3 = 6