Answer by GoodDeeds for If $H$ is the area of the cardioid $r=1+\cos( \theta...
$$ \iint\limits_H \, (x+y) \mathrm{d} A $$Convert the integral to polar coordinates. Let $x=r\cos\theta$ and $y=r\sin\theta$. The determinant of the Jacobian matrix is given by $r$.Thus,...
View ArticleIf $H$ is the area of the cardioid $r=1+\cos( \theta )$, calculate the double...
As stated in the title, I'm trying to calculate $$ \iint\limits_H \, (x+y) \mathrm{d} A $$Where $H$ is the area of the cardioid $r=1+\cos (\theta) $.I have calculated the area of $H$ to be $$...
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