Question

$\frac{1}{ab}\cot^{- 1}\left( \frac{b\cos x}{a} \right) + c$

• A. $\frac{1}{ab}\cot^{- 1}\left( \frac{a\cos x}{b} \right) + c$
• B. $\int_{}^{}{\sec x\log(\sec x + \tan x)\mspace{6mu} dx =}$
• C. $\lbrack\log(\sec x + \tan x)\rbrack^{2} + c$
• D. $\frac{1}{2}\lbrack\log(\sec x + \tan x)\rbrack^{2} + c$

Answer 1

Answer: (B)

$\int_{}^{}{\sec x\log(\sec x + \tan x)\mspace{6mu} dx =}$

Answer 2

Put $\int_{}^{}\frac{\cos 2x + x + 1}{x^{2} + \sin 2x + 2x}\mspace{6mu} ⥂ dx =$.