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∫ Sin 3 X Cos X D X - Mathematics

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प्रश्न

 Write a valoue of \[\int \sin^3 x \cos x\ dx\]

 

योग
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उत्तर

Let I= \[\int\]sin3 x . cos x dx

Let sin x = t
⇒​ cos x dx = dt
\[\therefore I =\]\[\int\] t3 . dt
\[= \frac{t^4}{4} + C\]
\[ = \frac{\sin^4 x}{4} + C \left( \because t = \sin x \right)\]
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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 12 | पृष्ठ १९७

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