Civil Engineering > GATE 2023 SET-1 > Numerical Integration
A function $f(x)$, that is smooth and convex-shaped between interval $(x_{l},x_{u})$ is shown in the figure. This function is observed at odd number of regularly spaced points. If the area under the function is computed numerically, then ______
A
the numerical value of the area obtained using the trapezoidal rule will be less than the actual
B
the numerical value of the area obtained using the trapezoidal rule will be more than the actual
C
the numerical value of the area obtained using the trapezoidal rule will be exactly equal to the actual
D
with the given details, the numerical value of area cannot be obtained using trapezoidal rule

Correct : a

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