If $\int_0^1f(x)\,dx=16$ and $\int_0^1g(x)\,dx=3.5$, then determine $\int_0^14\cdot f(x)-8\cdot g(x)\,dx$.

Problem: 

If $\int_0^1f(x)\,dx=16$ and $\int_0^1g(x)\,dx=3.5$, then determine $\int_0^14\cdot f(x)-8\cdot g(x)\,dx$.

Answer: 

$\int_0^14\cdot f(x)-8\cdot g(x)\,dx=36$