Question

Simpson’s one-third rule is applied to a function for its

• A. Expansion
• B. Differentiation
• C. Numerical integration
• D. None of these

Answer 1

The correct option is C

Numerical integration

Explanation for the correct answer:

Explaining when is Simpson's one-third rule applied:
Simpson's ${\frac{1}{3}}^{rd}$ rule is an extension of the trapezoidal rule in which the integrand is approximated by a second-order polynomial. Simpson's rule can be derived in various ways using Newton's divided difference polynomial, Lagrange polynomial, and the method of coefficients.

Thus, Simpson’s one-third rule is applied to a function for its numerical integration.

Therefore, the correct answer is option (C).