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Question Number 212616 by im13 last updated on 19/Oct/24

$$$$$$$$$$if\mathrm{f}\left(\mathrm{x}\right)={}^{a}x=x^{x^{x^{{\text{iddots}}^x}}}(therearea{x}^{\prime }s;a\in \mathbb{N}anda\ne 0)$$$$\int f\left(x\right)dx=?$$

Commented by Frix last updated on 20/Oct/24

$${\mathrm{There}}^{\prime }\mathrm{s}\mathrm{not}\mathrm{even}\mathrm{a}\mathrm{closed}\mathrm{form}\mathrm{for}\int x^{x}dx$$

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