Solve doubt pls! Integral of 1/(x+x^8) but no partial fraction decomposition. Reddit r/calculus

When we see an integral of a rational function, we often proceed by doing partial fraction decomposition first. However for the Integral of 1/(x+x^8), or in general, the integral of 1/(x+x^(n)), we can use this nice trick to avoid the usual partial fractions. This problem is from Reddit r/calculus
Original post: https://www.reddit.com/r/calcu....lus/comments/1agdhec

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