$\smallint \,[\,\sin \,(\log \,\,x)\,\, + \,\,\cos \,(\log \,\,x)\,]\,dx$ is equal to

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int \,[\,\sin \,(\log \,\,x)\,\, + \,\,\cos \,(\log \,\,x)\,]\,dx

is equal to

View answer and explanation

Correct option: C

x\sin \,\,(\log \,\,x) + c

Option C (

x\sin \,(\log \,x) + c

) is correct because the integral can be simplified by recognizing it as the derivative of

x \sin(\log x)

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