is equal to

• - 2

• 0

• 2

• 4

22.

 is equal to

• $2\sqrt{\mathrm{x}} - {\mathrm{e}}^{\sqrt{\mathrm{x}}} - 4\sqrt{{\mathrm{xe}}^{\sqrt{\mathrm{x}}}} +\hspace{0.17em}\mathrm{c}$

• $\left(2\sqrt{\mathrm{x}} - 4\sqrt{\mathrm{x}} + 4\right){\mathrm{e}}^{\sqrt{\mathrm{x}}} +\hspace{0.17em}\mathrm{c}$

• $\left(2\sqrt{\mathrm{x}} + 4\sqrt{\mathrm{x}} + 4\right){\mathrm{e}}^{\sqrt{\mathrm{x}}} +\hspace{0.17em}\mathrm{c}$

• $\left(1 - 4\sqrt{\mathrm{x}}\right) {\mathrm{e}}^{\sqrt{\mathrm{x}}} +\hspace{0.17em}\mathrm{c}$

$\int \frac{\mathrm{dx}}{{\mathrm{x}}^2 +\hspace{0.17em}2\mathrm{x} + 2}$ is equal to

• ${\sin }^{-1}\left(\mathrm{x} +\hspace{0.17em}1\right) +\hspace{0.17em}\mathrm{c}$

• ${\sinh }^{-1}\left(\mathrm{x} +\hspace{0.17em}1\right) +\hspace{0.17em}\mathrm{c}$

• ${\tanh }^{-1}\left(\mathrm{x} +\hspace{0.17em}1\right) +\hspace{0.17em}\mathrm{c}$

• ${\tan }^{-1}\left(\mathrm{x} +\hspace{0.17em}1\right) +\hspace{0.17em}\mathrm{c}$