m $f\left(t\right)$ $\frac{1}{2}$ $-\sqrt{2}\cdot \frac{12-{\left({e}^{t}-{e}^{-t}\right)}^{2}}{{\left({e}^{t}+{e}^{-t}\right)}^{4}}$ $\frac{1}{3}$ $-\frac{2\sqrt{2}}{3}\cdot \frac{20-{\left({e}^{t}-{e}^{-t}\right)}^{2}}{{\left({e}^{t}+{e}^{-t}\right)}^{4}}$ $\frac{1}{4}$ $-\frac{2\sqrt{2}}{2}\cdot \frac{14-{\left({e}^{t}-{e}^{-t}\right)}^{2}}{{\left({e}^{t}+{e}^{-t}\right)}^{4}}$ $\frac{1}{5}$ $-\frac{2\sqrt{2}}{5}\cdot \frac{36-{\left({e}^{t}-{e}^{-t}\right)}^{2}}{{\left({e}^{t}+{e}^{-t}\right)}^{4}}$ $\frac{1}{6}$ $-\frac{\sqrt{2}}{3}\cdot \frac{44-{\left({e}^{t}-{e}^{-t}\right)}^{2}}{{\left({e}^{t}+{e}^{-t}\right)}^{4}}$ $\frac{1}{7}$ $-\frac{2\sqrt{2}}{7}\cdot \frac{52-{\left({e}^{t}-{e}^{-t}\right)}^{2}}{{\left({e}^{t}+{e}^{-t}\right)}^{4}}$ $\frac{1}{8}$ $-\frac{\sqrt{2}}{4}\cdot \frac{60-{\left({e}^{t}-{e}^{-t}\right)}^{2}}{{\left({e}^{t}+{e}^{-t}\right)}^{4}}$ $\frac{1}{9}$ $-\frac{2\sqrt{2}}{9}\cdot \frac{68-{\left({e}^{t}-{e}^{-t}\right)}^{2}}{{\left({e}^{t}+{e}^{-t}\right)}^{4}}$