Intertwined Integrals

Calculus Level 1

If an antiderivative of \(f\left( x \right) \) is \({ e }^{ x }\) and that of \(g\left( x \right) \) is \(\cos { x } \), then \(\displaystyle \int { f\left( x \right) \cos { x } \ dx } +\int { g\left( x \right) { e }^{ x } \ dx } \) is equal to

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