If \(\int g(x)dx=g(x)+c\), then \(\int g(x)[f(x)+f^{'}(x)]dx=\)1\(g(x)f(x)-g^{'}(x)+c\)2\(g(x)f^{'}(x)+c\)3\(g(x)f(x)+c\)4\(g^{'}(x)f^{'}(x)+c\)Answer & explanation+Correct answer: option 3Assume \(g(x)=e^x\)