\( \int \frac{a+b \sin x}{(b+a \sin x)^{2}} d x \) equals....

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\( \int \frac{a+b \sin x}{(b+a \sin x)^{2}} d x \) equals
\( \mathrm{P} \)
(1) \( -\left(\frac{\cos x}{b+a \sin x}\right)+c \)
(2) \( -\left(\frac{\sin x}{a+b \cos x}\right)+c \)
(3) \( \frac{\cos x}{b+a \sin x}+c \)
(4) \( \frac{\sin x}{a+b \cos x}+c \)



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