If an ant derivative of \[f(x)\] is \[{{e}^{x}}\] and that of \[g(x)\] is \[\cos x,\]then \[\int{f(x)\cos x\,dx}+\int{g(x){{e}^{x}}dx=}\] [Kerala (Engg.) 2005]

If an ant derivative of \[f(x)\] is \[{{e}^{x}}\] and that of \[g(x)\]

1.	If an ant derivative of \[f(x)\] is \[{{e}^{x}}\] and that of \[g(x)\] is \[\cos x,\]then \[\int{f(x)\cos x\,dx}+\int{g(x){{e}^{x}}dx=}\] [Kerala (Engg.) 2005]
A.	f(x)g(x)+c
B.	f(x)+g(x)+c
C.	\[{{e}^{x}}\cos x+c\]
D.	f(x) ? g(x)+c
E.	\[{{e}^{x}}\cos x+f(x)g(x)+c\]
Answer» D. f(x) ? g(x)+c

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If an ant derivative of \[f(x)\] is \[{{e}^{x}}\] and that of \[g(x)\] is \[\cos x,\]then \[\int{f(x)\cos x\,dx}+\int{g(x){{e}^{x}}dx=}\] [Kerala (Engg.) 2005]

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