Discussion
The trapezoidal rule with \( n \) strips of width \( h \) estimates the integral as
Answer: B
Each strip contributes the area of a trapezium, \( \tfrac{h}{2}(y_{i} + y_{i+1}) \). Summing, every interior ordinate is counted twice and the two end ordinates once:
\[ I \;\approx\; \frac{h}{2}\left[y_{0} + y_{n} + 2\sum_{i=1}^{n-1} y_{i}\right]. \]
The divisor three and the weight four belong to Simpson's rule
No comment is present. Be the first to comment.
Loading…
Post your comment
Please log in or register to post a comment.
Examination Categories
- SSC Exams
- Banking Exams
- Teaching Exams
- Civil Services Exams
- Railways Exams
- Engineering Recruitment Exams
- Defence Exams
- State Government Exams
- Police Exams
- Insurance Exams
- Nursing Exams
- Other Government Exams
- NRA CET
- PG Entrance Exams
- Campus Placement
- MBA Entrance Exams
- CUET and UG Entrance
- Judiciary Exams
- Regulatory Body Exams
- Software Development