[3 points] Suppose that
f
and
g
are continuous and differentiable functions such that
f^(')(x)=g(x)
and all of the following conditions are also true:
\int_0^3 f(x)dx=4,\int_3^6 f(x)dx=3,\int_0^6 g(x)dx=7,\int_0^3 g(x)dx=12,f(0)=5
Evaluate each of the following expressions.
\int_0^3 (4f(0)-(g(x))/(2))dx
b)
\int_0^6 f(x)dx