1.

The two-segment trapezoidal rule of integration is exact for integration at most ______ order polynomials.1. first2. second3. third4. fourth

Answer» Correct Answer - Option 1 : first

Concept:

  • The 2 segments trapezoidal rule for integration, is exactly for integrating at the most FIRST order of the polynomial.
  • The single segment trapezoidal rule is exact for at most a first-order polynomial. When it comes to the two-segment trapezoidal rule is also exact only for the same order of the polynomial, which is, a first-order polynomial.

Method of numerical integral and their order of the fitting polynomial:

Numerical integral

Order of fitting polynomial

Trapezoidal method

     First

Simpson’s 1/3 rule

     Second

Simpson’s 3/8 rule

     Third

Hence, the first option is correct.



Discussion

No Comment Found

Related InterviewSolutions