Hi guys,

Found this site through google, looks great

Anyway, I've just finished my maths degree and am training to be a teacher at the moment. My plan is to teach up to further maths at A-level (UK), so as such I'm going over a lot of the stuff I haven't really looked at since my first undergraduate year. I'm rather embarrassingly stumped on a question, and I know the answer is staring me right in the face, if you guys could point me in the right direction it would be great, thanks

Write $\displaystyle (\sec\theta+\tan\theta)(\sec\theta-\tan\theta)$ in it's simplest form. Use it to evaluate

$\displaystyle \int \frac{1}{(\sec\theta + \tan\theta)^2}d\theta$

The first part evaluates to 1, which means I can write

$\displaystyle \int \frac{1}{(\sec\theta + \tan\theta)^2}d\theta=\int\frac{\sec\theta - \tan\theta}{\sec\theta + \tan\theta}d\theta$

but then I find I'm a bit stuck, the next step would be muchly appreciated

Kind Regards

Stonehambey