5cos-5-tsin-t-

Question Number 21591 by Isse last updated on 29/Sep/17

5 \cos^{5} t \sin t

Commented by mrW1 last updated on 29/Sep/17

{what}^{'} s your concrete question ?

Answered by $@ty@m last updated on 29/Sep/17

L e t \cos t = u

\Rightarrow - \sin t d t = d u

\int 5 \cos^{5} t \sin t d t

= \int 5 u^{5} (- d u)

= - 5 \int u^{5} d u

= - 5 \frac{u^{6}}{6} + C

= \frac{- 5}{6} \cos^{6} t + C

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