\( \int \frac{e^{x} \sin x \cos x}{(1+\sin x)^{2}(1-\sin x+\cos x)} d x \) is equal to
(a) \( \f...
\( \int \frac{e^{x} \sin x \cos x}{(1+\sin x)^{2}(1-\sin x+\cos x)} d x \) is equal to
(a) \( \frac{e^{x}}{1+\sin x}+C \)
(b) \( \frac{e^{x}(1-\sin x)}{1+\sin x}+C \)
(c) \( \frac{e^{x}}{1-\sin x+\cos x}+C \)
(d) \( \frac{e^{x}}{4} \sec ^{2}\left(\frac{\pi}{4}-\frac{x}{2}\right)+C \)
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