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Hello I'm a student how to figure out how to solve these types of problems and I haven't found any good resources on it. A specific problem I'm working on is this:

Let $R$ be the lamina with density $1/4$ bounded by $y\geq0$, $x\geq0$, and $y=2-7x^2$. Set up the integral for Moment $M_y$, using slices parallel to the $y$ axis.

The answer it gives is $$\int_{0}^{\sqrt{2/7}}\frac{1}{4}x(2-7x^2)dx$$ but I have no idea how they got this solution. Any help would be much appreciated.

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    I edited your question with Latex code. If it gets accepted through peer-review could you please review it to make sure I did not change your question any?2012-12-18
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    Funny, I edited it too.2012-12-18

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