Question

$\frac{\sin 2x}{2} + c$

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

Answer 1

Answer: (C)

$\log_{e}x + c$

Answer 2

$\log(\tan x) + c$

$\sec(\log x)\mspace{6mu}.\mspace{6mu}\tan(\log x) + c$

{Putting $\int_{}^{}{\frac{dx}{x\log x\log(\log x)} =}$,

⇒ $2\log(\log x) + c$