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- Thread starter unscientific
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[itex](\sqrt{R^2 - x^2})[/itex] should be [itex](\sqrt{R^2 - x^2})^n[/itex]

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[itex](\sqrt{R^2 - x^2})[/itex] should be [itex](\sqrt{R^2 - x^2})^n[/itex]

hmm are u sure about that?

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Yes.

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Bacle2

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Ray Vickson

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## Homework Statement

The question is attached in the picture.

## The Attempt at a Solution

Since V_{0}= 1,

Thus V_{1}= [itex]\stackrel{1}{2}[/itex]∏R^{2}which is a constant.

Then shouldn't V_{n}be as in the picture?

[tex] V_1(R) =

\int_{-R}^R V_0 \left(\sqrt{R^2-x^2} \right) \, dx = \int_{-R}^R \; 1 \, dx = 2R, [/tex]

etc.

RGV

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