Question

If g'(x) = f(x) with g(-8) = a, g(-2) = b, g(1) = c, and g(4) = d. , express the value of ∫ (bottom 4, upper 2) f(2x) dx in terms of a, b, c, and/or d.

Answer 1

Let u=2x. Then
∫f(2x) dx = 1/2 ∫f(u) du = 1/2 ∫ g'(u) du = 1/2 g(u) = 1/2 g(2x)
Now, you have ∫[4,2] f(2x) dx = 1/2 [g(4)-g(8)]
But you have not defined g(8) or how it could relate to g(-8)

Am I missing something? Maybe you can find what's wrong.