Kay's Math: Double integrals-Bsc Statistics-Kerala university-Practice set1

$\int\int\4xy^{3}\:dA; R={(x,y):-1\leq x\leq1,-2\leqx\leq2}$

$\int\int\frac{xy}{\sqrt{x^{2}+y{2}+1}}\:dA; R={(x,y);0\leq x\leq1 ,0\leq y\leq1}$

$\int\int x\sqrt{1-x^{2}}\:dA; R={(x,y);0\leq x\leq1 ,2\leq y\leq3}$

$\int\int xsiny-ysinx\:dA; R={(x,y);0\leq x\leq \frac{\Pi}{2} ,0\leq y\leq\frac{\Pi}{3}}$

find the volume under the plane $z=2x+y \:and \:over\: the\: rectangle\: R={(x,y);3\leq x\leq 5,1\leq y\leq2}$

find the volume under the surface $z=3x^{3}+3x^{2}y\: and\:over\:the \:rectangle\: R={(x,y);1\leq x\leq 3,0\leq y\leq2}$

Kay's Math

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Saturday, January 19, 2019

Double integrals-Bsc Statistics-Kerala university-Practice set1

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