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The table below gives values of function F(x) obtained for values of x at intervals of 0.25.

The value of the integral of the function between the limits 0 to 1 using Simpson's rule is
  • a)
    0.7854
  • b)
    2.3562
  • c)
    3.1416
  • d)
    7.500
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The table below gives values of function F(x) obtained for values of x...
The Simpson’s rule is given by,

h –Width of interval / Step length
y0, y1 …yn – Ordinates corresponding to x0, x1, ……, xn
Calculation:
Given:

h = 0.25
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The table below gives values of function F(x) obtained for values of x at intervals of 0.25.The value of the integral of the function between the limits 0 to 1 using Simpsons rule isa)0.7854b)2.3562c)3.1416d)7.500Correct answer is option 'A'. Can you explain this answer?
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The table below gives values of function F(x) obtained for values of x at intervals of 0.25.The value of the integral of the function between the limits 0 to 1 using Simpsons rule isa)0.7854b)2.3562c)3.1416d)7.500Correct answer is option 'A'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The table below gives values of function F(x) obtained for values of x at intervals of 0.25.The value of the integral of the function between the limits 0 to 1 using Simpsons rule isa)0.7854b)2.3562c)3.1416d)7.500Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The table below gives values of function F(x) obtained for values of x at intervals of 0.25.The value of the integral of the function between the limits 0 to 1 using Simpsons rule isa)0.7854b)2.3562c)3.1416d)7.500Correct answer is option 'A'. Can you explain this answer?.
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