Primitivní funkce

Project ID: 
5000000071
Accepted: 
Podoblast: 
Template: 
Question: 
\footnotesize Urči správnou primitivní funkci na intervalu $(0;\infty)$:
Question Row 1: 
\hspace{-2.5em} $\int\left(x^3-\frac x2\right)\,\mathrm{d}x$
Answer Row 1: 
*$\frac14\left(x^4-x^2+4\right)$, $\frac{x^4}4-\frac{x^2}2$, *$\frac14\left(x^4-x^2+1\right)$, $x^4-x^2+1$
Question Row 2: 
\hspace{-2.5em} $\int\left(\frac52x^4+\frac1{x^2}\right)\,\mathrm{d}x$
Answer Row 2: 
*$\frac{x^5}2-\frac1x$, *$\frac{x^6-2+3x}{2x}$, $\frac{x^5}2+x^{-1}+2$, $\frac{x^5}2+\frac1x$
Question Row 3: 
\hspace{-2.5em} $\int(3\sin x-2\cos x)\,\mathrm{d}x$
Answer Row 3: 
*$-3\cos x-2\sin x + 5$, $3\cos x-2\sin x+4$, $3\cos x+2\sin x$, *$-3\cos x-2\sin x +\pi$
Question Row 4: 
\hspace*{-2.5em} $\int\left(4x^3+3x^2-5x^4\right)\,\mathrm{d}x$
Answer Row 4: 
*$x^4+x^3-x^5$, $4x^5+3x^3-5x^5$, *$x^4+x^3-x^5+\mathrm{e}$, *$x^3+x^4-x^5+1$
Question Row 5: 
\hspace{-2.5em} $\int\left(\frac1{\sqrt x}-2\sin x\right)\,\mathrm{d}x$
Answer Row 5: 
*$2\left(\sqrt x+\cos x+8\right)$, $2\sqrt x-2\cos x$, $\frac12\sqrt x-2\cos x$, $\frac12\sqrt x+2\cos x$
Question Row 6: 
\hspace{-2.5em} $\int \left(\sqrt[3] x+\sqrt[5] x\right)\,\mathrm{d}x$
Answer Row 6: 
*$\frac34x^{\frac43}+\frac56x^{\frac65}-\frac78$, $\frac43x^{\frac43}+\frac65x^{\frac65}+\frac87$, *$\frac34x^{\frac34}+\frac56x^{\frac56}$, $\frac{19+9x\sqrt[3]x+10x\sqrt[5]x}{12}$
Tex: 
% tiket 32547 \MsrTabulka[1pt]{0.15\linewidth}{0.8\linewidth} \pocetsloupcu{4} \viceOdpovedi