Answer
$\text {(a)}$
\begin{align}
\int_0^1 [f(x) + g(x)] \ dx = 2.5
\end{align}
$\text {(b) Not enough information.}$
$\text {(c) Not enough information.}$
$\text {(d)}$
\begin{align}
\int_0^1 [4g(x) - 3f(x)] \ dx = 6.5
\end{align}
Work Step by Step
(a)
\begin{align}
\int_0^1 [f(x) + g(x)] \ dx = \int_0^1 f(x) \ dx + \int_0^1 g(x) \ dx = 0.5 + 2 = 2.5
\end{align}
(b)
$\text {Not enough information.}$
(c)
$\text {Not enough information.}$
(d)
\begin{align}
\int_0^1 [4g(x) - 3f(x)] \ dx = 4\int_0^1 g(x) \ dx - 3\int_0^1 f(x) \ dx = 8 - 1.5 = 6.5
\end{align}
