MCQ
$\int \frac{ dx }{(\sin x+\cos x)(2 \cos x+\sin x)}=?$
  • A
    $\log \left|\frac{\tan x+2}{\tan x+1}\right|+c$
  • $\log \left|\frac{\tan x+1}{\tan x+2}\right|+ c$
  • C
    $\log |\sin x+\cos x|+ c$
  • D
    $\log \left|\frac{\sin x+\cos x}{2 \cos x-\sin x}\right|+ c$

Answer

Correct option: B.
$\log \left|\frac{\tan x+1}{\tan x+2}\right|+ c$
B

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