Mathematics: How to solve this problem using integration?

How to solve this problem using integration?

Ответ:

payshencec21

05.01.2022

$\displaystyle\int\cos^56x\sin6x\,\mathrm dx$

Let $y=\cos6x$ , so that $\mathrm dy=-6\sin6x\,\mathrm dx$ . Then

$\displaystyle\int\cos^56x\sin6x\,\mathrm dx=-\frac16\int y^5\,\mathrm dy=-\frac1{36}y^6+C=-\frac1{36}\cos^66x+C$

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Ответ:

goldenblobslime

29.09.2020

Mathematics

I think the answer is D

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