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Mechanical Engineering

GATE ME concept:simpsons-rules PYQs

Build your understanding with focused practice from past exam papers.

How to practice concept:simpsons-rules

Attempt a question, record the concept and assumptions, then check the available answer. Rework mistakes after revising the relevant concepts. Topic tags can overlap; review the question context.

GATE ME syllabus

Questions 1–2 of 2. Imported answers require independent review unless marked reviewed.

Topic practice 2 questionsPage 1 of 1

Question 13

Open question
MEMCQ1 markNeeds review
Consider the definite integral

Let

be the exact value of the integral. If the same integral is estimated using Simpson’s rule with 10 equal subintervals, the value is

. The percentage error is defined as

. The value of

is
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Question 29

Open question
ME-1MCQ2 marksNeeds review
P (0, 3), Q (0.5, 4), and R (1, 5) are the three points on the curve defined by

. Numerical integration is carried out using both Trapezoidal rule and Simpson’s rule within limits

and

for the curve. The difference between the two results will be
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