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Write a Value of ∫ Cos 4 X Sin X D X - Mathematics

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प्रश्न

Write a value of\[\int \cos^4 x \text{ sin x dx }\]

योग

उत्तर

Let I= \[\int\] cos4 x .sin x dx

Let cos t
⇒​ –sin x dx = dt
⇒ sin x dx = –dt
\[\therefore I =\] - \[\int\] t4 dt

\[= \frac{- t^5}{5} + C\]
\[ = - \frac{\cos^5 x}{5} + C \left( \because t = \cos x \right)\]

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अध्याय 19: Indefinite Integrals - Very Short Answers [पृष्ठ १९७]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 12
अध्याय 19 Indefinite Integrals
Very Short Answers | Q 13 | पृष्ठ १९७

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