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Integral of sec x |
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| Aug8-04, 11:49 PM | #1 |
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Integral of sec x
I know the integral of sec x is
ln|tan(x)+sec(x)|+C, but how would you do it? I tried all the techniques and tricks I've learnt and nothing came up. |
| Aug9-04, 12:22 AM | #2 |
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Recognitions:
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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. |
| Aug9-04, 01:10 AM | #3 |
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Yup. shmoe's method is the easiest one to remember.
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