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Question
Write a value of\[\int \cos^4 x \text{ sin x dx }\]
Solution
Let I= \[\int\] cos4 x .sin x dx
⇒ –sin x dx = dt
⇒ sin x dx = –dt
\[= \frac{- t^5}{5} + C\]
\[ = - \frac{\cos^5 x}{5} + C \left( \because t = \cos x \right)\]
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