Intertwined Integrals

Calculus Level 1

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

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