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Consider the definite integral  Let Ie be the exact value of the integral. If the same integral is estimated using Simpson’s rule with 10 equal subintervals, the value is Is. The percentage error is defined as e = 100 × (Ie - Is)/Ie The value of e is
  • a)
    2.5
  • b)
    3.5
  • c)
    1.2
  • d)
    0
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Consider the definite integralLet Ie be the exact value of the integra...
Simpson's rule is given by -

h = width of interval / step length
yo, y1 ........ yn  - ordinates corresponding to xo, x1 ........ xn
Error = Exact value - approximate value
Calculation:
Given:
Since the given function is second-degree polynomial.
Simpson's 1/3 rd rule also uses a second degree polynomial for approximation.
Hence there will be no error in the result
The value of Is and Ie will be the same and hence 
e = 100 × (Ie - Is)/Ie = 0
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Consider the definite integralLet Ie be the exact value of the integral. If the same integral is estimated using Simpson’s rule with 10 equal subintervals, the value is Is. The percentage error is defined as e = 100 × (Ie - Is)/Ie The value of e isa)2.5b)3.5c)1.2d)0Correct answer is option 'D'. Can you explain this answer?
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Consider the definite integralLet Ie be the exact value of the integral. If the same integral is estimated using Simpson’s rule with 10 equal subintervals, the value is Is. The percentage error is defined as e = 100 × (Ie - Is)/Ie The value of e isa)2.5b)3.5c)1.2d)0Correct answer is option 'D'. 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 Consider the definite integralLet Ie be the exact value of the integral. If the same integral is estimated using Simpson’s rule with 10 equal subintervals, the value is Is. The percentage error is defined as e = 100 × (Ie - Is)/Ie The value of e isa)2.5b)3.5c)1.2d)0Correct answer is option 'D'. 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 Consider the definite integralLet Ie be the exact value of the integral. If the same integral is estimated using Simpson’s rule with 10 equal subintervals, the value is Is. The percentage error is defined as e = 100 × (Ie - Is)/Ie The value of e isa)2.5b)3.5c)1.2d)0Correct answer is option 'D'. Can you explain this answer?.
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