\[
\int f(x) \sin x \cos x d x=\frac{1}{2\left(a^{2}-b^{2}\right)} \log |f(x)|+C,
\]
\( P \)
the....
\[
\int f(x) \sin x \cos x d x=\frac{1}{2\left(a^{2}-b^{2}\right)} \log |f(x)|+C,
\]
\( P \)
then \( f(x)= \)
(1) \( \frac{1}{a^{2} \sin ^{2} x+b^{2} \cos ^{2} x} \)
(2) \( \frac{1}{a^{2} \sin ^{2} x-b^{2} \cos ^{2} x} \)
(3) \( \frac{1}{a^{2} \cos ^{2} x+b^{2} \sin ^{2} x} \)
(4) \( \frac{1}{a^{2} \cos ^{2} x-b^{2} \sin ^{2} x} \)
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