A) \[x\cos (\log x)+c\]
B) \[\sin (\log x)+c\]
C) \[\cos (\log x)+c\]
D) \[x\sin (\log x)+c\]
Correct Answer: D
Solution :
\[\int_{{}}^{{}}{\sin (\log x)\,dx}+\int_{{}}^{{}}{\cos (\log x)\,dx}\] \[=x\sin (\log x)-\int_{{}}^{{}}{\frac{x\cos (\log x)}{x}}\,dx+\int_{{}}^{{}}{\cos (\log x)\,dx+c}\] \[=x\sin (\log x)+c.\]You need to login to perform this action.
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