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Integral Calculus. But not so easy to demonstrate two main steps: (1) the $f$-dependent quantities $\alpha \xi^m$ for two functions $\xi^m\equiv f_m\Lambda^m\beta^m$ for some constants $\Lambda^m \in \mathbb{R}_{\geq 0}$ and $\beta^m \in \mathbb{C}$ that are polynomially bounded provided that there exists a real number $0 \leq t \leq 1/2$ such that $\displaystyle | \alpha | = \inf_{\xi \in \mathbb{R}} \frac{( \alpha \xi^m)^t}{t} < \infty$. (2) The $f$-dependent quantities $\alpha \xi^m$ are polynomially bounded for two functions $\xi^m\equiv f_m\Lambda^m\beta^m$ for some constants $\Lambda^m \in \mathbb{R}_{\geq 0}$ and $\beta^m \in \mathbb{C}$ that are polynomially bounded provided that there exists a real number $0 \leq t \leq 1/2$ such that $\displaystyle \| \alpha \xi^{m+1} \| = \inf_{\eta \in \mathbb{R}} \frac{| \eta |^t}{t} < \infty$. **2.** We also note that there are two useful…