\( 4 \sqrt{m} \int_{0}^{\sqrt{2 E / k}} \frac{d x}{\sqrt{2 E-k x^{2}}} \)
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The integral is of the form: \[ \int \frac{dx}{\sqrt{a^2 - x^2}} \] which is a standard integral that evaluates to: \[ \arcsin\left(\frac{x}{a}\right) + C \] Show more…
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