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જો $\int_{}^{} {f(x)\sin x\cos x\;dx = \frac{1}{{2({b^2} - {a^2})}}\log (f(x))} + c$, તો $f(x) = $

• ✓
  $\frac{1}{{{a^2}{{\sin }^2}x + {b^2}{{\cos }^2}x}}$
• B
  $\frac{1}{{{a^2}{{\sin }^2}x - {b^2}{{\cos }^2}x}}$
• C
  $\frac{1}{{{a^2}{{\cos }^2}x + {b^2}{{\sin }^2}x}}$
• D
  $\frac{1}{{{a^2}{{\cos }^2}x - {b^2}{{\sin }^2}x}}$