find integral csc(x)sec(x)

I only whant to know what integration technique to use don't solve it for me.

Thank you

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- Feb 14th 2009, 02:13 PM #1

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- Feb 14th 2009, 02:39 PM #2
This might get you started, but if you want to try to do it mostly by yourself, just read a line at a time until you get it:

$\displaystyle \int\csc x\sec x\,dx$

$\displaystyle =\int\frac{dx}{\sin x\cos x}$

$\displaystyle =\int\frac{\sin x\,dx}{\sin^2 x\cos x}$

$\displaystyle =\int\left(\frac{\sin x}{\cos x}\right)\left(\frac1{\sin^2x}\right)dx$

$\displaystyle =\int\tan x\csc^2x\,dx$

Can you manage from here?