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Home  >>  JEEMAIN and AIPMT  >>  Mathematics  >>  Class12  >>  Integral Calculus
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Integrate : $\int\large\frac{\cos 2x}{\cos ^ 2 x} $$dx$

\[\begin {array} {1 1} (a)\;2x+\tan x +c \\ (b)\;-2x -\tan x+c \\ (c)\;-2x + \tan x +c \\ (d)\;2x - \tan x+c \end {array}\]
Can you answer this question?
 
 

1 Answer

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$\int \large\frac{2 \cos ^2 -1}{\cos ^2 x} $$dx$
=> $ \int (2- \sec^2 x) dx$
=> $2x - \tan x + c$
Hence d is the correct answer.
answered Dec 18, 2013 by meena.p
 
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