indefinite-integration

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



1) $f(x)g(x)+c$
2) $f(x)+g(x)+c$
3) ${{e}^{x}}\cos x+c$
4) $f(x) – g(x)+c$
Solution: Explanation: No Explanation
Integration by parts

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