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Recent questions tagged integration-by-trapezoidal-and-simpsons-rule
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GATE Mechanical 2021 Set 2 | Question: 18
Value of $\int_{4}^{5.2} \ln x\: dx$ using Simpson’s one-third rule with interval size $0.3$ is $1.83$ $1.60$ $1.51$ $1.06$
go_editor
asked
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Numerical Methods
Mar 1, 2021
by
go_editor
5.0k
points
gateme-2021-set2
numerical-methods
integration-by-trapezoidal-and-simpsons-rule
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answers
0
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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).
go_editor
asked
in
Numerical Methods
Sep 18, 2020
by
go_editor
5.0k
points
gateme-2020-set2
numerical-methods
integration-by-trapezoidal-and-simpsons-rule
numerical-answers
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answers
0
votes
GATE2020-ME-1: 26
The evaluation of the definite integral $\int ^{1.4}_{ – 1}x \mid x \mid dx$ by using Simpson’s $1/3^{rd}$ (one - third) rule with step size $h=0.6$ yields $0.914$ $1.248$ $0.581$ $0.592$
go_editor
asked
in
Numerical Methods
Feb 19, 2020
by
go_editor
5.0k
points
gateme-2020-set1
numerical-methods
integration-by-trapezoidal-and-simpsons-rule
0
answers
0
votes
GATE2019 ME-1: 18
Evaluation of $\int_2^4 x^3 dx$ using a $2$-equal-segment trapezoidal rule gives a value of _______
Arjun
asked
in
Numerical Methods
Feb 9, 2019
by
Arjun
27.5k
points
gateme-2019-set1
numerical-answers
numerical-methods
integration-by-trapezoidal-and-simpsons-rule
0
answers
0
votes
GATE2017 ME-1: 29
$P(0, 3), Q (0.5, 4)$ and $R(1, 5)$ are three points on the curve defined by $f(x)$. Numerical integration is carried out using both Trapezoidal rule and Simpson's rule within limits $x=0$ and $x=1$ for the curve. The difference between the two results will be $0$ $0.25$ $0.5$ $1$
Arjun
asked
in
Numerical Methods
Feb 27, 2017
by
Arjun
27.5k
points
gateme-2017-set1
numerical-methods
integration-by-trapezoidal-and-simpsons-rule
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answers
0
votes
GATE2016-2-29
The error in numerically computing the integral $\int_{0}^{\pi }(\sin x+\cos x)dx$ using the trapezoidal rule with three intervals of equal length between $0$ and $\pi$ is ___________
Arjun
asked
in
Numerical Methods
Feb 24, 2017
by
Arjun
27.5k
points
gateme-2016-set2
numerical-answers
numerical-methods
integration-by-trapezoidal-and-simpsons-rule
0
answers
0
votes
GATE2015-3-13
Using a unit step size, the value of integral $\int_{1}^{2}x \ln x dx$ by trapezoidal rule is ________
Arjun
asked
in
Numerical Methods
Feb 24, 2017
by
Arjun
27.5k
points
gateme-2015-set3
numerical-answers
numerical-methods
integration-by-trapezoidal-and-simpsons-rule
0
answers
0
votes
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 __________
Arjun
asked
in
Numerical Methods
Feb 24, 2017
by
Arjun
27.5k
points
gateme-2015-set2
numerical-answers
integration-by-trapezoidal-and-simpsons-rule
numerical-methods
0
answers
0
votes
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
asked
in
Numerical Methods
Feb 19, 2017
by
Arjun
27.5k
points
gateme-2014-set3
numerical-answers
numerical-methods
integration-by-trapezoidal-and-simpsons-rule
engineering-mathematics
0
answers
0
votes
GATE ME 2013 | Question: 3
Match the CORRECT pairs: ... $P-2; Q-1; R-3$ $P-3; Q-2; R-1$ $P-1; Q-2; R-3$ $P-3; Q-1; R-2$
piyag476
asked
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Numerical Methods
Feb 19, 2017
by
piyag476
1.4k
points
gateme-2013
numerical-methods
integration-by-trapezoidal-and-simpsons-rule
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