- #1
longrob
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Homework Statement
A lamina of unit density consists of the region between the two curves [tex]y=\sqrt{4-x^2}[/tex] and [tex]y=1-4x^2[/tex] and the x axis.
Find it's moment of inertia about the x-axis.
Homework Equations
This is the correct answer:
[tex]2\left \{ \int_{0}^{2}\int_{0}^{\sqrt{4-x^2}}}y^2 dy dx - \int_{0}^{1/2}\int_{0}^{1-4x^2}y^2 dy dx \right \}[/tex]
which I do understand.
The Attempt at a Solution
[tex]2\int_{0}^{2}\int_{1-4x^2}^{\sqrt{4-x^2}}y^2 dy dx[/tex]
I don't understand why this is wrong.
Thanks in advance.