# Help Evaluating an Integral

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1. Homework Statement

Can you give me a strategy or get me started in the right direction?

I need to evaluate:

$$\int_{x_1}^{x_2} (E-\alpha |x|^{\nu})^{\frac{1}{2}} \,dx$$

2. Homework Equations

$$\nu > 0$$

x1 and x2 are known in terms of E, alpha, and nu

3. The Attempt at a Solution

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Staff Emeritus
For arbitrary $\nu$ it's typically an elliptic integral.