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Výpočet obsahu mezi křivkami
Urči obsah mezi křivkami funkcí na daném intervalu:
\( \large f\left(x\right)=\sin{x\:}\text{\large a }g\left(x\right)=\cos{\:x}\:\text{\large na intervalu}\left\langle\Large\frac{\pi}{4};\frac{3\pi}{4}\right\rangle \)
\( \large S=\sqrt{2}-1+2=\sqrt{2}+1\doteq2,41j^2 \)
\( \large S=\sqrt{2}+1-1=\sqrt{2}\doteq1,41j^2 \)
\( \large S=\sqrt{2}-1+1=\sqrt{2}\doteq1,41j^2 \)
\( \large S=\sqrt{3}-1+1=\sqrt{3}\doteq1,73j^2 \)