Consider the definite integral $\int_0^1 x^2 \sqrt{4x + 8} dx$ Then the most appropriate substitution to simplify this integral is u = Then $dx = f(x) du$ where f(x) = After making the substitution and simplifying we obtain the integral $\int_a^b g(u) du$ where g(u) = a = b = This definite integral has value =
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