$\int_{-1}^1\:x^{n-1}\,\sqrt{\frac{1+x}{1-x}}\,dx$ integralini çözün

Question

$$\int_{-1}^1\:x^{n-1}\,\sqrt{\frac{1+x}{1-x}}\,dx\:\:\:,\:\:\:n\in\mathbb{Z}^+$$

İntegralini çözün.