MCQ
$\int \frac{\cos x+x \sin x}{x^2+x \cos x} dx =$
  • A
    l$og|x^2 + x \cos x| + c$
  • B
    $\left.|\log | \frac{x \sin x}{x+\cos x} \right\rvert\,+ c$
  • $\log \left|\frac{x}{x+\cos x}\right|+ c$
  • D
    $\log |\cos x + x \sin x| + c$

Answer

Correct option: C.
$\log \left|\frac{x}{x+\cos x}\right|+ c$
$\log \left|\frac{x}{x+\cos x}\right|+ c$

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