Question: (a) Let f(x) := 2 if 0 < x < 1 and f(x) := 1 if 1 < x < 2. Show that f

(a) Let f(x) := 2 if 0 < x < 1 and f(x) := 1 if 1 < x < 2. Show that f ∈ R[0, 2] and evaluate its integral.
(b) Let h(x) := ∈ if 0 < x < 1, h(1) := 3 and h(x) := 1 if 1 < x < 2. Show that h ∈ R[0, 2] and evaluate its integral.

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