- #1

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**1. Relevant equations**

[itex]\int_{-1}^{1} 2\pi\sqrt\frac{x^2 (1 - x^2)}{8}\sqrt{1+(\left| x\right | \frac{-2x^2+1}{2(-x^2+1)^{1/2}*2^{1/2}x}})^2[/itex]

**2. The attempt at a solution**

I tried to calculate the limit when x = 1 but I can't seems to get the result

If someone would just have a hint on how to calculate the limit of this integral I would appreciate.

Thank you

Jonathan