Question

Calcule a integral

m) $\int\ {}(3~sec~xtgx+5~csc^2~x) \, dx$

Answer 1

Boa tarde Jairo!

Solução!

$\displaystyle\int3secx.tangx+5csc^{2}x dx\\\\\\\\\\\ 3 \displaystyle\int secx.tangx dx+ 5\displaystyle \int csc^{2}x dx\\\\\\\\\ Olhando~~na~~tabela~~de ~~integrais,vamos~~ encontrar.\\\\\\\\ 3secx-5ctgx+c$


$\boxed{Resposta:\displaystyle\int3secx.tangx+5csc^{2}x dx=3secx-5ctgx+c}$

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Bons estudos!