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(Solved): [3 points] Suppose that f and g are continuous and differentiable functions such that f^(')(x)=g(x) ...



[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


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