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Určení primitivní funkce
K funkci urči primitivní funkci:
\large f\left( x\right) = \sin ^2{x}
\large{{{\displaystyle\int\sin^2{x}{d}x=\Large\frac{1}{3}\left(\int1{d}x-\int\cos{2x}\right){d}x=\frac{1}{3}\left[x-\frac{1}{3}\sin{2x}\right]+C}}}
\large{{{\displaystyle\int\sin^2{x}{d}x=\Large\frac{1}{2}\left(\int1{d}x+\int\cos{2x}\right){d}x=\frac{1}{2}\left[x+\frac{1}{2}\sin{2x}\right]+C}}}
\large{{{\displaystyle\int\sin^2{x}{d}x=\Large\frac{1}{2}\left(\int1{d}x-\int\cos{2x}\right){d}x=\frac{1}{2}\left[x-\frac{1}{2}\sin{2x}\right]+C}}}
\large{{{\displaystyle\int\sin^2{x}{d}x=\Large\frac{1}{2}\left(\int1{d}x-\int\sin{2x}\right){d}x=\frac{1}{2}\left[x-\frac{1}{2}\cos{2x}\right]+C}}}