Question
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
Options :
2.5
3.5
1.2
0
Answer :
0
Solution :
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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