Question

integralseno de 5x dx

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Answer 1

Resposta:

OLÁ

VAMOS A SUA PERGUNTA:⇒⇒

$\sf \displaystyle\int x~sin(5x)dx$

$\sf =-\dfrac{1}{5}x ~cos (5x)-\displaystyle\int-\dfrac{1}{5}cos(5x)dx$

$\sf \sf \displaystyle\int =-\dfrac{1}{5} cos (5x)dx=-\dfrac{1}{25}sin(5x)$

$\sf =-\dfrac{1}{5}x ~cos (5x)-\left(-\dfrac{1}{25}sin(5x)\right)$

$\sf =-\dfrac{1}{5}x ~cos (5x)+\dfrac{1}{25}sin(5x)$

$\boxed{\bold{\displaystyle{\clubsuit\ \spadesuit\ \maltese\ \sf \red{ =-\dfrac{1}{5}x ~cos (5x)+\dfrac{1}{25}sin(5x)+C} }}}\ \checkmark$← RESPOSTA.

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