Write a value of ∫ sin3x cosx dx.

1.	Write a value of ∫ sin3x cosx dx.
Answer» Let sin x = t Differentiating on both sides we get, cosx dx = dt Substituting above equation in ∫sin³x cosx dx we get, = ∫t³ dt = \(\frac{t^4}{4}\) + c = \(\frac{sin^4x}{4}\) + c

Answer»

Let sin x = t

Differentiating on both sides we get,

cosx dx = dt

Substituting above equation in ∫sin³x cosx dx we get,

= ∫t³ dt

= \(\frac{t^4}{4}\) + c

= \(\frac{sin^4x}{4}\) + c

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