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Consider the definite integral

Let I e 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 I e be the exact value of the integr...
Given : Definite integral, 

Percentage error,  
where, Ie be the exact value of integral and I s be the value which is evaluated using Simpson’s 1/3 rule with 10 equal subintervals.
The given f ( x) = 4x2 + 2 x + 6 is a quadratic equation, for which exact value ( Ie) is always equal to approximated value ( Is) .
Therefore,

Hence, the correct option is (D).
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Consider the definite integralLet I e 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 I e 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 Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Consider the definite integralLet I e 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 Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the definite integralLet I e 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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