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Question Number 124906 by Mammadli last updated on 06/Dec/20

$$\int {\mathit{s}\mathit{i}\mathit{n}\mathit{x}}^3\mathit{d}\mathit{x}=?$$

Commented by Dwaipayan Shikari last updated on 06/Dec/20

$$\int {sinx}^{3}dx$$$$=\frac{1}{2i}\int e^{{ix}^3}-e^{-{ix}^3}dx$$$$=\frac{ix\sqrt{{ix}^3}}{6x^2}\mathrm{\Gamma }(\frac{1}{3},{ix}^3)+\frac{ix\sqrt{-{ix}^3}}{6x^2}\mathrm{\Gamma }(\frac{1}{3},-{ix}^3)\left(Incompletegamma\right)$$

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