How to integrate the equation below? thx i am confused and my brain is filled with murky glue!(
(secx+tanx)dx (sorry the front symbol i dont know how to type in)
Since you have a sum, integrate each term separately:
$\displaystyle \int {\sec x\,dx} = \int {\sec x \cdot \frac{{\sec x + \tan x}}
{{\sec x + \tan x}}\,dx} .$
And for the another piece $\displaystyle \int {\tan x\,dx} = \int {\frac{{\sin x}}
{{\cos x}}\,dx} = - \int {\frac{{(\cos x)'}}
{{\cos x}}\,dx} .$