The integral $$\int\limits_{{{\text{x}}_1}}^{{{\text{x}}_2}} {{{\text{x}}^2}{\text{dx}}} $$ with x2 > x1 > 0 is evaluated analytically as well as numerically using a single application of the trapezoidal rule. If $$I$$ is the exact value of the integral obtained analytically and J is the approximate value obtained using the trapezoidal rule, which of the following statements is correct about their relationship?
A. J > $$I$$
B. J < $$I$$
C. J = $$I$$
D. Insufficient data to determine the relationship
Answer: Option A
Related Questions on Numerical Methods
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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