If \( I_{n}=\int(\sin x)^{n} d x n \in N \), Then \( 5 I_{4}-6 I_{6...

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If \( I_{n}=\int(\sin x)^{n} d x n \in N \), Then \( 5 I_{4}-6 I_{6} \) is
\( \mathrm{P} \) equal to:

W
(1) \( \sin x \cdot(\cos x)^{5}+C \)
(2) \( \sin 2 x \cdot \cos 2 x+C \)
(3) \( \frac{\sin 2 x}{8}\left[\cos ^{2} 2 x+1-2 \cos 2 x\right]+C \)
(4) \( \frac{\sin 2 x}{8}\left[\cos ^{2} 2 x+1+2 \cos 2 x\right]+C \)
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