$\smallint \,\,\frac{{dx}}{{\sin \,\,x\,\,\cos \,\,x}}$ is equal to

$\log \,\,|\sin \,\,x|\,\, + \,c$

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int \,\,\frac{{dx}}{{\sin \,\,x\,\,\cos \,\,x}}

is equal to

View answer and explanation

Correct option: B

\log \,\,|\tan \,\,x| + \,c

Option B (

\log \\,|\tan \\,x| + \\,c

) is correct because the integral can be simplified using trigonometric identities and then solved by recognizing the derivative of

\tan x

in the numerator.

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