Question

$\log\left\lbrack \tan x + \sqrt{\tan^{2}x + 4} \right\rbrack + c$

• A. $\frac{1}{2}\log\left\lbrack \tan x + \sqrt{\tan^{2}x + 4} \right\rbrack + c$
• B. $\log\left\lbrack \frac{1}{2}\tan x + \frac{1}{2}\sqrt{\tan^{2}x + 4} \right\rbrack + c$
• C. $\int_{}^{}\frac{2x\tan^{- 1}x^{2}}{1 + x^{4}}\mspace{6mu} dx =$
• D. None of these

Answer 1

Answer: (C)

$\int_{}^{}\frac{2x\tan^{- 1}x^{2}}{1 + x^{4}}\mspace{6mu} dx =$

Answer 2

$\frac{2}{3}(1 + \log x)^{3/2} + c$

$(1 + \log x)^{3/2} + c$.