Recent questions tagged integral - GO Electrical

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GATE2013-36
$\displaystyle{}\oint \frac{z^2-4}{z^2+4}\: dz$ evaluated anticlockwise around the circle $\mid z-i \mid=2$ , where $i=\sqrt{-1}$, is $-4\pi$ $0$ $2+\pi$ $2+2i$

asked Feb 12, 2017 in Differential Equations by piyag476 (1.5k points)

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2

GATE2013-24
Given a vector field $\textbf{F}=y^2x \textbf{a}_x-yz \textbf{a}_y-x^2 \textbf{a}_z$ the line integral $\int \textbf{F} \cdot d \textbf{l}$ evaluated along a segment on the $x$-axis from $x=1$ to $x=2$ is $-2.33$ $0$ $2.33$ $7$

asked Feb 12, 2017 in Electromagnetic Fields by piyag476 (1.5k points)

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3

GATE2014-2-26
To evaluate the double integral $\int_{0}^{8}(\int_{(y/2)}^{y/2+1}(\frac{2x-y}{2})dx)dy$ , we make the substitution $u=(\frac{2x-y}{2})$ and $v=\frac{y}{2}$ The integral will reduce $\int_{0}^{4}(\int_{0}^{2}2udu) dv$ $\int_{0}^{4}(\int_{0}^{1}2udu) dv$ $\int_{0}^{4}(\int_{0}^{1}udu) dv$ $\int_{0}^{4}(\int_{0}^{2}udu) dv$

asked Feb 12, 2017 in Differential Equations by makhdoom ghaya (9.3k points)

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