Question

$\tan^{- 1}x + c$

• A. $\int_{}^{}{\frac{\cos 2x + 2\sin^{2}x}{\cos^{2}x}dx =}$
• B. $2\sec x + c$
• C. $2\tan x + c$
• D. None of these

Answer 1

Answer: (C)

$2\tan x + c$

Answer 2

$\frac{1}{4}\sin^{- 1}\left( \frac{4x^{3}}{3} \right) + c$

$\frac{1}{3}\sin^{- 1}\left( \frac{4x^{3}}{3} \right) + c$

$\frac{1}{4}\sin^{- 1}x^{3} + c$

$\frac{1}{3}\sin^{- 1}x^{3} + c$.