Question

For applying Simpson's \( \frac{1}{3} \) rule, the given interval must be divided into how many number of sub-intervals?

• A. odd
• B. two
• C. even
• D. three

Hint:

Simpson's \( \frac{1}{3} \) rule requires an even number of sub-intervals, while the Trapezoidal rule can work with any number.

Answer 1

The Correct Option is C

Step 1: Condition for Simpson's rule. 
- Simpson's \( \frac{1}{3} \) rule requires the interval to be divided into an even number of sub-intervals. 
Step 2: Selecting the correct option. 
Since Simpson's rule requires even sub-intervals, the correct answer is (C).