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Recent questions tagged trapezoidal-rule

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GATE IT 2005 | Question: 2
If the trapezoidal method is used to evaluate the integral obtained $\int_{0}^{1} x^2dx$, then the value obtainedis always > (1/3)is always < (1/3)is always = (1/3)may be greater or lesser than (1/3)
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GATE IT 2007 | Question: 22
The trapezoidal method is used to evaluate the numerical value of $\int_{0}^{1}e^x dx$. Consider the following values for the step size h.10-210-310-410-5For ... in the computation.iv onlyiii and iv onlyii, iii and iv onlyi, ii, iii and iv
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Is the value obtained by trapezoidal rule greater than
Is the value obtained by trapezoidal rule greater than the exact value and also compare the value obtained in the case of simpsons rule.
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GATE CSE 1997 | Question: 4.10
The trapezoidal method to numerically obtain $\int_a^b f(x) dx$ has an error E bounded by $\frac{b-a}{12} h^2 \max f&rsquo;&rsquo;(x), x \in [a, b]$ where $h$ ... $E \leq 10^{-4}$ in computing $\ln 7$ using $f=\frac{1}{x}$ is6010060010000
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GATE CSE 2014 Set 3 | Question: 46
With respect to the numerical evaluation of the definite integral, $K = \int \limits_a^b \:x^2 \:dx$, where $a$ and $b$ are given, which of the ... to the exact value of the definite integral.I onlyII onlyBoth I and IINeither I nor II
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GATE CSE 2013 | Question: 23
Function $f$ is known at the following points:$x$00.30.60.91.21.51.82.12.42.73.0$f(x)$ ... computed using the trapezoidal rule is(A) 8.983 (B) 9.003 (C) 9.017 (D) 9.045
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GATE CSE 2002 | Question: 1.2
The trapezoidal rule for integration gives exact result when the integrand is a polynomial of degree0 but not 11 but not 00 or 12
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GATE CSE 2008 | Question: 21
The minimum number of equal length subintervals needed to approximate $\int_1^2 xe^x\,dx$ to an accuracy of at least $\frac{1}{3}\times10^{-6}$ using the trapezoidal rule is1000e1000100e100
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