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1. Let f(x) = 8 < : 0 if x < 0 x if 0 x 1 2 x if 1 < x 2 0 if x > 2 and define a new function g(x) = Z x 0 f(t) dt. (a) Find an expression for g(x) similar to the one for f(x). (b) Sketch the graphs of f and g.?
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