Question

$- 2\cos\sqrt{x} + c$

• A. $\frac{1}{2}\cos\sqrt{x} + c$
• B. $2\cos\sqrt{x} + c$
• C. $\int_{}^{}{e^{x}\tan^{2}(e^{x})dx =}$
• D. None of these

Answer 1

Answer: (B)

$2\cos\sqrt{x} + c$

Answer 2

Put $\frac{1}{\sqrt{2}}{logtan}\left( \frac{\pi}{8} + \frac{x}{4} \right) + c$ then

$\sqrt{2}{logtan}\left( \frac{\pi}{8} + \frac{x}{4} \right) + c$

$\frac{1}{2\sqrt{2}}{logtan}\left( \frac{\pi}{8} + \frac{x}{4} \right) + c$