Q39
With respect to the numerical evaluation of the definite integral K = _ a^ b x^2 dx, where a and b are given, which of the following statements is/are TRUE? I. The value of K obtained using the trapezoidal rule is always greater than or equal to the exact value of the definite integral. II. The value of K obtained using the Simpson's rule is always equal to the exact value of the definite integral.
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 K obtained using the trapezoidal rule is always greater than or equal to the exact value of the definite integral.
II. The value of K obtained using the Simpson's rule is always equal to the exact value of the definite integral.
I. The value of K obtained using the trapezoidal rule is always greater than or equal to the exact value of the definite integral.
II. The value of K 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
AnswerD.
Neither I nor II
Answer: Option C
Solution
Answer: Option C
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