Homework Help: Help Evaluating an Integral

1. Mar 20, 2008

cepheid

Staff Emeritus
1. The problem statement, all variables and given/known data

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. Relevant equations

$$\nu > 0$$

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

3. The attempt at a solution

Last edited: Mar 20, 2008
2. Mar 20, 2008

cepheid

Staff Emeritus
okay I fixed a crucial mistake (forgetting the dx). I wonder if that will help, now that you know what variable I'm supposed to be integrating wrt.

3. Mar 22, 2008

dextercioby

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