# Confused by integration!

• Dec 7th 2007, 01:21 AM
Dream is not Utopia
Confused by integration!
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)
• Dec 7th 2007, 03:10 AM
Krizalid
Since you have a sum, integrate each term separately:

$\int {\sec x\,dx} = \int {\sec x \cdot \frac{{\sec x + \tan x}}
{{\sec x + \tan x}}\,dx} .$

And for the another piece $\int {\tan x\,dx} = \int {\frac{{\sin x}}
{{\cos x}}\,dx} = - \int {\frac{{(\cos x)'}}
{{\cos x}}\,dx} .$
• Dec 7th 2007, 04:52 AM
colby2152
$\int sec(x)+tan(x)dx = \int \frac{1+sin(x)}{cos(x)}dx$

A good way to start with these is to put everything into sines and cosines.