Recent questions tagged upper-limit - GO Electrical

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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 (9.2k points)

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GATE2016-1-5
The value of the integral $\oint _{c}\frac{2z+5}{\left ( z-\frac{1}{2} \right ) \left (z^{2} -4z+5 \right )}dz$ over the contour $|z|=1$, taken in the anti-clockwise direction, would be $\frac{24 \pi i}{13}$ $\frac{48 \pi i}{13}$ $\frac{24}{13}$ $\frac{12}{13}$

asked Jan 30, 2017 in Differential Equations by makhdoom ghaya (9.2k points)

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