I don't know how to start and solve this integral. Can you help me? $$\int \dfrac{dx}{1+x^{7}}$$
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Using this search or this search in Approach0 you can find a few similar question which might help you with this one. For example, Evaluate the integral $\int \frac{dx}{1+x^5}$. – Martin Sleziak Jan 14 '17 at 09:11
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Start by partial fraction decomposition (e.g. https://en.wikipedia.org/wiki/Partial_fraction_decomposition).
Andreas Rüdinger
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Just can just write done the seven seventh roots of $-1$ explicit, e.g. using Eulers formula. – Andreas Rüdinger Jan 13 '17 at 21:03
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And the result is logarithms of complex numbers. IMO, very inelegant. (pst, see the comment above on the main post) – Simply Beautiful Art Jan 13 '17 at 21:08
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1@SimpleArt Probably means a comment linking to Evaluate $\int\frac1{1+x^n}dx$ for $n\in\mathbb R$. (It was added automatically with a vote to close as a duplicate and it was removed after the question was closed.) – Martin Sleziak Jan 14 '17 at 10:11