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Home  >>  JEEMAIN and AIPMT  >>  Mathematics  >>  Class12  >>  Integral Calculus
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integrate : $\int \large\frac{1}{\sin ^2 x \cos ^2 x } $$dx$

\[\begin {array} {1 1} (a)\;\sec x+ \tan x +c \\ (b)\;\tan x - \sec x +c \\ (c)\;\tan x +\cot x+c \\ (d)\;\tan x - \cot x +c \end {array}\]

Can you answer this question?
 
 

1 Answer

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