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Integrate the function $f(x,y) = xy(x^2+y^2)$ over the domain $R : { 3 <= x^2y^2<3, 1 <=xy <=4 }$
asked
Jan 5, 2018
by
big boss
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190
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calculus
pyqs
2017
integration
0
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0
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Using contour integral method, prove that $\int_{0}^{\infty} \frac{x \sin mx}{a^2 + x^2} dx = \frac{\pi}{2} e^{ma}$.
asked
Nov 25, 2017
by
randomisation
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pyqs
2017
calculus
integration
contourintegration
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Evaluate: $ I = \int_{0}^{1} \sqrt[3]{x log\left(\frac{1}{x}\right)} dx $
asked
Aug 21, 2017
by
randomisation
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1,920
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pyqs
2016
calculus
integration
improperintegration
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1
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Test the convergence of $\int_{4}^{\infty} \frac{5 + sin(x)}{x}\ dx$
asked
Aug 19, 2017
by
randomisation
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1,920
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convergence
integration
realanalysis
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2
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How to integrate x^2 with respect to x?
asked
Aug 9, 2017
by
randomisation
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1,920
points)
integration
calculus
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