\[\int{\cos ({{\log }_{e}}x)\,dx}\] is equal to [MP PET 2003]

\[x\{\cos ({{\log }_{e}}x)+\sin ({{\log }_{e}}x)\}\]

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

\[\frac{1}{2}x\{\cos ({{\log }_{e}}x)-\sin ({{\log }_{e}}x)\}\]

\[x\{\cos ({{\log }_{e}}x)-\sin ({{\log }_{e}}x)\}\]

\[\int{\cos ({{\log }_{e}}x)\,dx}\] is equal to [MP PET

1.	\[\int{\cos ({{\log }_{e}}x)\,dx}\] is equal to [MP PET 2003]
A.	\[\frac{1}{2}x\{\cos ({{\log }_{e}}x)+\sin ({{\log }_{e}}x)\}\]
B.	\[x\{\cos ({{\log }_{e}}x)+\sin ({{\log }_{e}}x)\}\]
C.	\[\frac{1}{2}x\{\cos ({{\log }_{e}}x)-\sin ({{\log }_{e}}x)\}\]
D.	\[x\{\cos ({{\log }_{e}}x)-\sin ({{\log }_{e}}x)\}\]
Answer» B. \[x\{\cos ({{\log }_{e}}x)+\sin ({{\log }_{e}}x)\}\]

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\[\int{\cos ({{\log }_{e}}x)\,dx}\] is equal to [MP PET 2003]

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