Question

integration of tan@ solve step by step​

Answer 1

Answer:

- ln | cos(x) | + c

Explanation:

$\int {tan (x)} \, dx$ = $\int {\frac{sin(x)}{cos(x)} \, dx$

Let u = cos(x)

du = - sin(x) dx

$\int {\frac{sin(x)}{cos(x)} \, dx$ = $\int {\frac{-du}{u} } \,$ = - ln | u | + c

= - ln | cos(x) | + c