Computer Sciences > GATE 2014 SET-3 > Numerical Integration
With respect to the numerical evaluation of the definite integral, K = ∫abx2dx, 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.
Correct : c
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