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Výpočet obsahu mezi křivkami
Urči obsah mezi křivkami funkcí na daných intervalech:
\( \large f\left(x\right)=-2x^2+1\:\text{\large a }g\left(x\right)=2x^2,\:\text{\large na intervalu}\left\langle-0,5;0,5\right\rangle \)
\( S=S_1+S_2 \)
\( \large S=\Large\frac{1}{5}\large+\Large\frac{1}{5}\large=\Large\frac{2}{5}\large j^2 \)
\( S=S_1+S_2 \)
\( \large S=\Large\frac{1}{2}\large+\Large\frac{1}{2}\large=\Large\frac{1}{1}\large j^2 \)
\( S=S_1+S_2 \)
\( \large S=\Large\frac{1}{4}\large+\Large\frac{1}{4}\large=\Large\frac{1}{2}\large j^2 \)
\( S=S_1+S_2 \)
\( \large S=\Large\frac{1}{3}\large+\Large\frac{1}{3}\large=\Large\frac{2}{3}\large j^2 \)