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Soln. of Algebraic & Trans Eqn

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Question 1 of 5

With respect to the numerical evaluation of The Definite integral K=\int_{a}^{b} x^{2} d x where a and b are given which of the following statements is 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

A

both I and II

B

only II

C

neither I nor II

D

only I

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