# [SOLVED] Integration of trigonometric function Help

• Aug 28th 2008, 10:18 PM
manutd4life
[SOLVED] Integration of trigonometric function Help
How to integrate
$\displaystyle \int \frac{sec2x}{cos2x} \, dx$
• Aug 28th 2008, 10:20 PM
Chris L T521
Quote:

Originally Posted by manutd4life
How to integrate
$\displaystyle \int \frac{sec2x}{cos2x} \, dx$

The integrand is the same as saying the following:

$\displaystyle \frac{\sec(2x)}{\cos(2x)}=\sec(2x)\cdot\sec(2x)=\s ec^2(2x)$

Thus, you have the integral $\displaystyle \int\sec^2(2x)\,dx$

It should be a piece of cake from here.

I hope this helps.

--Chris
• Aug 28th 2008, 10:27 PM
manutd4life
Quote:

Originally Posted by Chris L T521
The integrand is the same as saying the following:

$\displaystyle \frac{\sec(2x)}{\cos(2x)}=\sec(2x)\cdot\sec(2x)=\s ec^2(2x)$

Thus, you have the integral $\displaystyle \int\sec^2(2x)\,dx$

It should be a piece of cake from here.

I hope this helps.

--Chris

Thanks man Lol
i just have not see this
Am doing some H/W now on integration any prob i'll post it
Thanks again
• Aug 28th 2008, 10:45 PM
manutd4life
Thanks post solved