Question: The function g is defined on [0, 3] by g(x) := -1 if 0 < x < 2 and g(x) := 1 if 2 <

The function g is defined on [0, 3] by g(x) := -1 if 0 < x < 2 and g(x) := 1 if 2 < x < 3. Find the indefinite integral G(x) = ∫x0 g for 0 < x < 3, and sketch the graphs of g and G. Does Gʹ (x) = g(x) for all x in [0, 3]?

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