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Výpočet obsahu plochy pod křivkou
Urči obsah plochy pod křivkou funkce na daném intervalu:
\( \large f\left( x\right) = x^3,\text{na intervalu}\left \langle 0;3 \right \rangle \)
\( \large=\Large\frac{3^4}{4}\large-\Large\frac{1^4}{4}\large=\Large\frac{80}{4}\large j^2 \)
\( \large=\Large\frac{3^4}{4}\large-\Large\frac{0^4}{4}\large=\Large\frac{81}{4}\large j^2 \)
\( \large=\Large\frac{3^3}{4}\large-\Large\frac{0^3}{4}\large=\Large\frac{27}{4}\large j^2 \)
\( \large=\Large\frac{3^4}{5}\large-\Large\frac{0^4}{5}\large=\Large\frac{81}{5}\large j^2 \)