Evaluate: \( \int e^{x} \frac{1+n x^{n-1}-x^{2 n}}{\left(1-x^{n}\ri...

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Evaluate: \( \int e^{x} \frac{1+n x^{n-1}-x^{2 n}}{\left(1-x^{n}\right) \sqrt{1-x^{2 n}}} d x \)
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