Question

$\log_{e}x + 2\tan^{- 1}x + c$

• A. $\log_{e}\frac{1}{x^{2} + 1} + c$
• B. $\log_{e}\{ x(x^{2} + 1)\} + c$
• C. $\int_{}^{}\frac{dx}{\sqrt{1 - x}}$
• D. $2\sqrt{1 - x} + c$

Answer 1

Answer: (B)

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

Answer 2

Put $\log\lbrack\log(\log x)\rbrack + c$

Hence $\log(x\log x) + c$