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GATE2015-3-13
Arjun
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Numerical Methods
Feb 24, 2017
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Mar 4, 2021
by
Lakshman Patel RJIT
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Using a unit step size, the value of integral $\int_{1}^{2}x \ln x dx$ by trapezoidal rule is ________
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Arjun
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Numerical Methods
Feb 24, 2017
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Lakshman Patel RJIT
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Newton-Raphson method is used to find the roots of the equation, $x^3+3x^2+3x-1=0$. If the initial guess is $x_0=1$, then the value of $x$ after $2^{nd}$ iteration is ________
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GATE2015-2-29
The values of function $f(x)$ at $5$ discrete points are given below: $\begin{array}{|l|l|l|l|l|l|} \hline x & 0& 0.1 & 0.2 & 0.3 & 0.4 \\ \hline f(x) & 0 & 10 & 40& 90 & 160 \\ \hline \end{array}$ Using Trapezoidal rule with step size of $0.1$, the value of $\int_{0}^{0.4}f(x)dx$ is __________
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Feb 24, 2017
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Arjun
asked
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Numerical Methods
Feb 19, 2017
GATE Mechanical 2014 Set 3 | Question: 5
The definite integral $\int_{1}^{3}\dfrac{1}{x}$ is evaluated using Trapezoidal rule with a step size of $1$. The correct answer is _______
Arjun
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Numerical Methods
Feb 19, 2017
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27.4k
points
gateme-2014-set3
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go_editor
asked
in
Numerical Methods
Sep 18, 2020
GATE2020-ME-2: 35
For the integral $\displaystyle \int_0 ^{\pi/2} (8+4 \cos x) dx$, the absolute percentage error in numerical evaluation with the Trapezoidal rule, using only the end points, is ________ (round off to one decimal place).
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Sep 18, 2020
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Arjun
asked
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Numerical Methods
Feb 9, 2019
GATE2019 ME-1: 18
Evaluation of $\int_2^4 x^3 dx$ using a $2$-equal-segment trapezoidal rule gives a value of _______
Arjun
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Numerical Methods
Feb 9, 2019
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27.4k
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gateme-2019-set1
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