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∫ Sin 3 X Cos X D X

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Question

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

 

Sum
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Solution

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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Chapter 18: Indefinite Integrals - Very Short Answers [Page 197]

APPEARS IN

R.D. Sharma Mathematics Volume 1 and 2 [English] Class 12
Chapter 18 Indefinite Integrals
Very Short Answers | Q 12 | Page 197

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