indefinite-integration

Question: $\int{\cos ({{\log }_{e}}x)\,dx}$ is equal to

1) $\frac{1}{2}x\{\cos ({{\log }_{e}}x)+\sin ({{\log }_{e}}x)\}$

2) $x\{\cos ({{\log }_{e}}x)+\sin ({{\log }_{e}}x)\}$

3) $\frac{1}{2}x\{\cos ({{\log }_{e}}x)-\sin ({{\log }_{e}}x)\}$

4) $x\{\cos ({{\log }_{e}}x)-\sin ({{\log }_{e}}x)\}$

Solution:

Explanation: No Explanation

Integration by parts

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