Q46

MCQ2 marks, −0.67

With respect to the numerical evaluation of the definite integral, $K = \int \limits_a^b \:x^2 \:dx$ , where $a$ and $b$ are given, which of the following statements is/are TRUE? I only II only Both I and II Neither I nor II

(A)

The value of $K$ obtained using the trapezoidal rule is always greater than or equal to the exact value of the definite integral.

(B)

The value of $K$ obtained using the Simpson's rule is always equal to the exact value of the definite integral.

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