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Solução!
![\displaystyle \int 2sen(x)- \frac{5cos(x)}{cos(x)}dx\\\\\\\
2\displaystyle \int sen(x)dx- 5\displaystyle \int\frac{cos(x)}{cos(x)}dx\\\\\\\
2\displaystyle \int sen(x)dx- 5\displaystyle \int(1)dx\\\\\\\
Olhando~~na~~ tabela~~de~~integrais~~vai~~ encontrar:\\\\\\\\
\displaystyle \int sen(x)dx=-cos(x)\\\\\\
(-2cos(x)-5x+c)\\\\\\\\\\\\
\boxed{Resposta:\displaystyle \int 2sen(x)- \frac{5cos(x)}{cos(x)}dx=(-2cos(x)-5x+c)}](https://tex.z-dn.net/?f=%5Cdisplaystyle+%5Cint+2sen%28x%29-+%5Cfrac%7B5cos%28x%29%7D%7Bcos%28x%29%7Ddx%5C%5C%5C%5C%5C%5C%5C%0A2%5Cdisplaystyle+%5Cint+sen%28x%29dx-+5%5Cdisplaystyle+%5Cint%5Cfrac%7Bcos%28x%29%7D%7Bcos%28x%29%7Ddx%5C%5C%5C%5C%5C%5C%5C+%0A2%5Cdisplaystyle+%5Cint+sen%28x%29dx-+5%5Cdisplaystyle+%5Cint%281%29dx%5C%5C%5C%5C%5C%5C%5C+%0AOlhando%7E%7Ena%7E%7E+tabela%7E%7Ede%7E%7Eintegrais%7E%7Evai%7E%7E+encontrar%3A%5C%5C%5C%5C%5C%5C%5C%5C%0A%5Cdisplaystyle+%5Cint+sen%28x%29dx%3D-cos%28x%29%5C%5C%5C%5C%5C%5C%0A%28-2cos%28x%29-5x%2Bc%29%5C%5C%5C%5C%5C%5C%5C%5C%5C%5C%5C%5C%0A%5Cboxed%7BResposta%3A%5Cdisplaystyle+%5Cint+2sen%28x%29-+%5Cfrac%7B5cos%28x%29%7D%7Bcos%28x%29%7Ddx%3D%28-2cos%28x%29-5x%2Bc%29%7D%0A%0A%0A "\displaystyle \int 2sen(x)- \frac{5cos(x)}{cos(x)}dx\\\\\\\
2\displaystyle \int sen(x)dx- 5\displaystyle \int\frac{cos(x)}{cos(x)}dx\\\\\\\
2\displaystyle \int sen(x)dx- 5\displaystyle \int(1)dx\\\\\\\
Olhando~~na~~ tabela~~de~~integrais~~vai~~ encontrar:\\\\\\\\
\displaystyle \int sen(x)dx=-cos(x)\\\\\\
(-2cos(x)-5x+c)\\\\\\\\\\\\
\boxed{Resposta:\displaystyle \int 2sen(x)- \frac{5cos(x)}{cos(x)}dx=(-2cos(x)-5x+c)}")
Boa noite!
Bons estudos!
Solução!
Boa noite!
Bons estudos!
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