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Question
\[\int \sin^5 x \cos x \text{ dx }\]
Sum
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Solution
∫ sin5 x cos x dx
Let sin x = t
cos x dx = dt
Now, ∫ sin5 x cos x dx
= ∫ t5 . dt
\[= \frac{t^6}{6} + C\]
\[ = \frac{\sin^6 x}{6} + C\]
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