Funkcja podstawowa | math4u.vsb.cz

Wysłane przez ladislav.foltyn w pon., 06/24/2019 - 14:33

Project ID:

5000000071

Accepted:

Podobszar:

Funkcja pierwotna

Template:

Question:

\footnotesize Wybierz poprawną funkcję podstawową w

(0; \infty)

:

Question Row 1:

\hspace{-2.5em}

\int (x^{3} - \frac{x}{2}) d x

Answer Row 1:

*

\frac{1}{4} (x^{4} - x^{2} + 4)

,

\frac{x^{4}}{4} - \frac{x^{2}}{2}

, *

\frac{1}{4} (x^{4} - x^{2} + 1)

,

x^{4} - x^{2} + 1

Question Row 2:

\hspace{-2.5em}

\int (\frac{5}{2} x^{4} + \frac{1}{x^{2}}) d x

Answer Row 2:

*

\frac{x^{5}}{2} - \frac{1}{x}

, *

\frac{x^{6} - 2 + 3 x}{2 x}

,

\frac{x^{5}}{2} + x^{- 1} + 2

,

\frac{x^{5}}{2} + \frac{1}{x}

Question Row 3:

\hspace{-2.5em}

\int (3 \sin x - 2 \cos x) 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 + π

Question Row 4:

\hspace*{-2.5em}

\int (4 x^{3} + 3 x^{2} - 5 x^{4}) d x

Answer Row 4:

*

x^{4} + x^{3} - x^{5}

,

4 x^{5} + 3 x^{3} - 5 x^{5}

, *

x^{4} + x^{3} - x^{5} + e

, *

x^{3} + x^{4} - x^{5} + 1

Question Row 5:

\hspace{-2.5em}

\int (\frac{1}{\sqrt{x}} - 2 \sin x) d x

Answer Row 5:

*

2 (\sqrt{x} + \cos x + 8)

,

2 \sqrt{x} - 2 \cos x

,

\frac{1}{2} \sqrt{x} - 2 \cos x

,

\frac{1}{2} \sqrt{x} + 2 \cos x

Question Row 6:

\hspace{-2.5em}

\int (\sqrt[3]{x} + \sqrt[5]{x}) d x

Answer Row 6:

*

\frac{3}{4} x^{\frac{4}{3}} + \frac{5}{6} x^{\frac{6}{5}} - \frac{7}{8}

,

\frac{4}{3} x^{\frac{4}{3}} + \frac{6}{5} x^{\frac{6}{5}} + \frac{8}{7}

, *

\frac{3}{4} x^{\frac{3}{4}} + \frac{5}{6} x^{\frac{5}{6}}

,

\frac{19 + 9 x \sqrt[3]{x} + 10 x \sqrt[5]{x}}{12}

Tex:

% tiket 32547 \MsrTabulka[1pt]{0.15\linewidth}{0.8\linewidth} \pocetsloupcu{4} \viceOdpovedi