If $\smallint {\rm{cosec}}\;\,x\,dx = f\left( x \right) + {\rm{constant}},{\rm{\;then}}\,\;f\left( x \right)$ is equal to

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

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Understanding +4 | -1

\int \mathrm{cosec}\;\,x\,dx = f\left( x \right) + \mathrm{constant},\mathrm{\;then}\,\;f\left( x \right)

is equal to

View answer and explanation

Correct option: B

\log \,\,|\tan \,\,\left( {x/2} \right)|

Option B (

\log \,|\tan \,\left( {x/2} \right)|

) is correct because the integral of cosec(x) is equal to log|tan(x/2)| + constant.

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