Question

$\log(e^{2x} + 1) - x + c$

• A. $\log(e^{2x} + 1) + c$
• B. $\int_{}^{}{\frac{\text{cosec}x}{{logtan}\frac{x}{2}}\mspace{6mu} dx =}$
• C. $\log\left( {logtan}\frac{x}{2} \right) + c$
• D. None of these

Answer 1

Answer: (B)

$\int_{}^{}{\frac{\text{cosec}x}{{logtan}\frac{x}{2}}\mspace{6mu} dx =}$

Answer 2

Putting $a = - \frac{\pi}{4},\mspace{6mu} b =$ we get

$\int_{}^{}\frac{dx}{\sin x + \cos x} =$

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

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