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**SandalHat** · February 14th 2009, 02:13 PM

find integral csc(x)sec(x)
I only whant to know what integration technique to use don't solve it for me.
Thank you

**Reckoner** · February 14th 2009, 02:39 PM

Originally Posted by SandalHat

find integral csc(x)sec(x)
I only whant to know what integration technique to use don't solve it for me.
Thank you

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:

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

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

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

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

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

Can you manage from here?

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