question_answer

If an antiderivative of f(x) is \[{{e}^{x}}\] and that of g(x) is \[\cos x\]then\[\int{f(x)\cos x\,\,dx+\int{g(x){{e}^{x}}\,\,dx=}}\]

A)  \[f\,\,(x)\,\,g\,\,(x)+C\]

B)  \[f\,\,(x)+g\,\,(x)+C\]

C)         \[{{e}^{x}}\cos x+C\]

D)  \[{{e}^{x}}\cos x+f(x)\,\,g(x)+C\]

E)  None of these