_ ^ x ;dx = - Vidyadip

MCQ

$\int_{}^{} {\sec x\;dx = } $

A
$\log \tan \left( {\frac{\pi }{8} + \frac{x}{2}} \right) + c$
✓
$ - \log (\sec x - \tan x) + c$
C
$\log (\sec x - \tan x) + c$
D
None of these

✓

Answer

Correct option: B.

$ - \log (\sec x - \tan x) + c$

b
(b)$\int_{}^{} {\sec x\,dx} = \log (\sec x + \tan x) + c$
$ = \log \left( {\frac{1}{{\sec x - \tan x}}} \right) + c$

$= - \log (\sec x - \tan x) + c$.

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