Concept drill
trapezoidal rule
GATE Civil Engineering · Numerical Methods - Integration · 2015-2023
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All concepts →2023 Q36
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 are...
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2021 Q27
The value of $\int_0^1 e^x dx$ using the trapezoidal rule with four equal subintervals is
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2021 Q46
Numerically integrate, $f(x) = 10x - 20x^2$ from lower limit $a = 0$ to upper limit $b = 0.5$. Use Trapezoidal rule with five equal subdivisions. The value (in units, round off to...
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2015 PYQ
The integral $$\,\int_{{x_1}}^{{x_2}} {{x^2}dx\,\,} $$ with $${x_2} > {x_1} > 0$$ is evaluated analytically as well as numerically using a single application of the trapezoidal rul...
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