With respect to the numerical evaluation of the definite integral $${\text{K}} = \int_{\text{a}}^{\text{b}} {{{\text{x}}^2}{\text{dx,}}} $$ 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.
A. I only
B. II only
C. Both I and II
D. Neither I nor II
Answer: Option C
This Question Belongs to Engineering Maths >> Numerical Methods
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Roots of the algebraic equation x3 + x2 + x + 1 = 0 are
A. (+1, +j, -j)
B. (+1, -1, +1)
C. (0, 0, 0)
D. (-1, +j. -j)
A. Only I
B. Only II
C. Both I and II
D. Neither I nor II
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