$
\left\{{\begin{array}{l}
{{I}\mathrm{{=}}\mathop{\int}\nolimits_{\hspace{0.33em}{0}}\nolimits^{\hspace{0.33em}{1}}{{xf}\left({x}\right){dx}}\mathrm{{=}}\frac{\cos{1}\mathrm{{-}}{1}}{2}}\\
{{J}\mathrm{{=}}\mathop{\int}\nolimits_{\hspace{0.33em}{0}}\nolimits^{\hspace{0.33em}{1}}{{x}^{3}{f}\left({x}\right){dx}}\mathrm{{=}}\frac{\cos{1}\mathrm{{-}}\sin{1}}{4}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}}
\end{array}}\right.
$
\left\{{\begin{array}{l}
{{I}\mathrm{{=}}\mathop{\int}\nolimits_{\hspace{0.33em}{0}}\nolimits^{\hspace{0.33em}{1}}{{xf}\left({x}\right){dx}}\mathrm{{=}}\frac{\cos{1}\mathrm{{-}}{1}}{2}}\\
{{J}\mathrm{{=}}\mathop{\int}\nolimits_{\hspace{0.33em}{0}}\nolimits^{\hspace{0.33em}{1}}{{x}^{3}{f}\left({x}\right){dx}}\mathrm{{=}}\frac{\cos{1}\mathrm{{-}}\sin{1}}{4}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}}
\end{array}}\right.
$
