$\smallint \cos \,\,({\log _e}\,\,x)\,dx$ is equal to

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int \cos \,\,({\log _e}\,\,x)\,dx

is equal to

View answer and explanation

Correct option: A

\frac{1}{2}\,\,x\,[\cos \,\,({\log _e}\,\,x)\,\, + \,\,\sin \,\,({\log _e}\,\,x)]

Option A (

\frac{1}{2}\,x[\cos \,({\log _e}\,x)\, + \,\sin \,({\log _e}\,x)]

) is correct because it is the result of applying integration by parts twice.

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