Question

Calcule a integral indefinida

y) $\int\ {} (\frac{sen~x}{cos~x}) \, dx$

Answer 1

Oi Lucas

∫ sen(x)/cos(x) dx = ∫ tg(x) dx = - ln(cos(x)) + C 

.

Answer 2

Sabendo que

senx/cosx= tgx

$\int\limits { \frac{senx}{cosx} } \, dx =$

$\int\limits {tg x} \, dx$ = -ln|cosx|