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GATE 2014 [Set-3]
April 3, 2025
GATE 2014 [Set-3]
April 3, 2025
GATE 2014 [Set-3]
April 3, 2025
GATE 2014 [Set-3]
April 3, 2025

GATE 2014 [Set-3]

Question 56

With respect to the numerical evaluation of the definite integral ,  where a  and b are given, which of the following statements is/are TRUE?

    I) The value of obtained using the trapezoidal rule is always greater than or equal to the exact value of the definite integral.
    II) The value of obtained using the Simpson’s rule is always equal to the exact value of the definite integral.

A
I only
B
II only
C
Both I and II
D
Neither I nor II
Question 56 Explanation: 
Note: Numerical methods are out of syllabus for the GATE -CS.
Correct Answer: C
Question 56 Explanation: 
Note: Numerical methods are out of syllabus for the GATE -CS.

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