Mathematics · Numerical Methods
A function f(x) that is smooth and strictly convex-shaped over the interval [xl, xu] is observed at an odd number of regularly spaced points. If the total area under the function is computed numerically using the trapezoidal rule, then how does the numerical value compare to the actual area?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1with the given details, the numeric al value of area cannot be obtained using trapezoidal ru le
- 2the numerical value of the area obtained using t he trapezoidal rule will be exactly equal to the actual
- 3the numerical value of the area obtained using the trapezoidal rule will be more than the actual✓
- 4the numerical value of the area obtained using the trapezoidal rule will be less than the actual
Correct answer
the numerical value of the area obtained using the trapezoidal rule will be more than the actual
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