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Home  >>  JEEMAIN and NEET  >>  Mathematics  >>  Class12  >>  Integral Calculus

Integrate :$\int \large\frac{e^{\Large \log (\sin x)}}{\cos x}$$dx$

$(a)\;\log |\sec x|+c \qquad(b)\;\log |\tan x|+c \qquad(c)\;\log |\cot x|+c \qquad (d)\;None$

1 Answer

$\int \large\frac{e^{\log (\sin x)}}{\cos x}$$dx$
$\qquad= \int \tan x dx$
By using log property
$e^{\log _e(x)} =x$
$\qquad= \log | sec x|+c$
Hence a is the correct answer.
answered Dec 24, 2013 by meena.p
 
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