\[\int_{{}}^{{}}{\frac{1}{\log a}({{a}^{x}}\cos {{a}^{x}})dx=}\]

1.	\[\int_{{}}^{{}}{\frac{1}{\log a}({{a}^{x}}\cos {{a}^{x}})dx=}\]
A.	\[\sin {{a}^{x}}+c\]
B.	\[{{a}^{x}}\sin {{a}^{x}}+c\]
C.	\[\frac{1}{{{(\log a)}^{2}}}\sin {{a}^{x}}+c\]
D.	\[\log \sin {{a}^{x}}+c\]
Answer» D. \[\log \sin {{a}^{x}}+c\]

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\[\int_{{}}^{{}}{\frac{1}{\log a}({{a}^{x}}\cos {{a}^{x}})dx=}\]

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