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
This Question Belongs to Engineering Maths >> Numerical Methods
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