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Recent questions tagged integrals
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GATE2020CE139
If $C$ represents a line segment between $(0,0,0)$ and $(1,1,1)$ in Cartesian coordinate system, the value (expressed as integer) of the line integral $\int_C [(y+z)dx+(x+z)dy+(x+y)dz] $ is ______
asked
Feb 28
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jothee
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2.7k
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gate2020ce1
calculus
engineeringmathematics
integrals
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2
GATE2020 CE23
The integral $\int\limits_{0}^{1} (5x^3 + 4x^2 + 3x + 2) dx$ is estimated numerically using three alternative methods namely the rectangular,trapezoidal and Simpson's rules with a common step size. In this context, which one of the following ... NONzero error. Only the rectangular rule of estimation will give zero error. Only Simpson's rule of estimation will give zero error.
asked
Feb 13
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jothee
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2.7k
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gate2020ce2
calculus
engineeringmathematics
integrals
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3
GATE2017 CE1: 3
Let $x$ be a continuous variable defined over the interval $( \infty, \infty)$, and $f(x) = e^{xe^{x}}$. The integral $g(x)= \int f(x) \: dx$ is equal to $e^{e^{x}}$ $e^{e^{x}}$ $e^{e^{x}}$ $e^{x}$
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Mar 26, 2018
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Milicevic3306
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11.8k
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gate2017ce1
calculus
engineeringmathematics
integrals
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0
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4
GATE201523
Given, $i=\sqrt{1}$, the value of the definite integral, $I= \int_0^{\pi/2} \dfrac{\cos x+ i \sin x}{\cos x – i \sin x} dx$ is: $1$ $1$ $i$ $i$
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Mar 26, 2018
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Milicevic3306
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11.8k
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gate2015ce2
calculus
engineeringmathematics
integrals
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0
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5
GATE2015229
For stepsize, $\Delta x =0.4$, the value of following integral using Simpson’s $1/3$ rule is _______. $\int_0^{0.8} (0.2 + 25 x – 200 x^2 + 675 x^3 – 900 x^4 +400 x^5) dx$
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Mar 26, 2018
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Milicevic3306
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11.8k
points)
gate2015ce2
numericalanswers
calculus
engineeringmathematics
integrals
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0
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6
GATE201512
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 rule. If $I$ is the exact value of the integral obtained analytically and ... , which of the following statement is correct about their relationship? $J>I$ $J<I$ $J=I$ Insufficient data to determine the relationship
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Mar 26, 2018
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Milicevic3306
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11.8k
points)
gate2015ce1
calculus
integrals
engineeringmathematics
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0
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7
GATE2018 CE1: 26
The value of the integral $\int_0^{\pi} x \cos^2 x \: dx$ is $\pi^2/8$ $\pi^2/4$ $\pi^2/2$ $\pi^2$
asked
Feb 17, 2018
in
Calculus
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gatecse
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3.9k
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gate2018ce1
integration
integrals
calculus
engineeringmathematics
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