# Time for some general integrals:

Calculus Level 4

$\large \int\limits_{0}^{\infty} \frac{x^k}{1+x^n} \, dx = \, ?$

for: $$k,n \in \mathbb{Z}$$ and $$0 \le k \le n-2$$

EDIT: The The $$\pi$$ s of the suggested answers in the denominator are supposed to be inside the $$sin( * )$$

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