Does this integral have any closed form? $$\int\frac{1}{x+\sin(x+1)}\mathop{\mathrm dx}$$
I think the substitution $x=(u-1)+2\pi$ will do it, no?
2026-03-27 22:55:19.1774652119
Does this integral have any closed form? $\int\frac{1}{x+\sin(x+1)}\mathop{\mathrm dx}$
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No. At least not according to Liouville's theorem and the Risch algorithm.