GATE Civil Engineering (CE) 2023 Shift 1 Solved Paper

Question : 36 of 65

Marks: +1, -0

A function f(x), that is smooth and convex-shaped between interval (x_l , s_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 .

the numerical value of the area obtained using the trapezoidal rule will be less than the actual
the numerical value of the area obtained using the trapezoidal rule will be more than the actual
the numerical value of the area obtained using the trapezoidal rule will be exactly equal to the actual
with the given details, the numerical value of area cannot be obtained using trapezoidal rule

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