Mathematics, 17.10.2020 14:01 kidzay
Calculate the double integral. $$\iint_{R}{\color{red}4} xye^{x^{2}y}\hspace*{3pt}dA, \quad R = [0, 1] \times [0, {\color{red}7}] $$
Answers: 3
![\int \int _R 4xye^{x^2 \ y} \ dA, R = [0,1]\times [0,7]](/tpl/images/0816/0158/0d8fc.png)
![\int \int _R \ 4xy e^{x^2 \ y} \ dA = \dfrac{4}{2}[e^y -1]^7_0 \ dy](/tpl/images/0816/0158/d5bdd.png)
![\int \int _R \ 4xy e^{x^2 \ y} \ dA = 2 [(e^7 -7)-(e^0 -0)]](/tpl/images/0816/0158/34ff9.png)
![\int \int _R \ 4xy e^{x^2 \ y} \ dA = 2 [(e^7 -7)-1]](/tpl/images/0816/0158/710fc.png)
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Calculate the double integral. $$\iint_{R}{\color{red}4} xye^{x^{2}y}\hspace*{3pt}dA, \quad R = [0,...
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