MCQ
$\int \frac{3 \cos x-2 \sin x}{2 \cos x+3 \sin x} d x=$
  • A
    $2 \cos x+3 \sin x+k$
  • $\log |2 \cos x+3 \sin x|+k$
  • C
    $\operatorname{tan}^{-1}\left(3 \sin \frac{x}{2}\right)+k$
  • D
    $2 \tan \frac{x}{2}+k$

Answer

Correct option: B.
$\log |2 \cos x+3 \sin x|+k$
B

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