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Integral of sec xby Hyperreality
Tags: integral 
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#1
Aug804, 11:49 PM

P: 203

I know the integral of sec x is
lntan(x)+sec(x)+C, but how would you do it? I tried all the techniques and tricks I've learnt and nothing came up. 


#2
Aug904, 12:22 AM

Sci Advisor
HW Helper
P: 1,994

Did you try multiplying by 1?
[tex]sec(x)=\displaystyle sec(x)\frac{sec(x)+tan(x)}{tan(x)+sec(x)}=\displaystyle\frac{sec^{2}(x) +sec(x)tan(x)}{tan(x)+sec(x)}[/tex]. Your integral is now of the form [tex]\displaystyle\frac{f'(x)}{f(x)}[/tex], easy to handle. 


#3
Aug904, 01:10 AM

P: 321

Yup. shmoe's method is the easiest one to remember.



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