$\smallint \,\,\frac{{1\,\, + \,\,\tan \,\,x}}{{{e^{ - x}}\,\,\cos \,\,x}}\,\,dx$ is equal to

${e^{ - x}}\,\,\tan \,\,x + \,\,c$

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int \,\,\frac{{1\,\, + \,\,\tan \,\,x}}{{{e^{ - x}}\,\,\cos \,\,x}}\,\,dx

is equal to

View answer and explanation

Correct option: C

{e^x}\,\,\sec \,\,x + \,\,c

Option C (

{e^x}\sec \\,x + \\,c

) is correct because the integral simplifies to this expression after applying integration by parts.

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