11. Suppose that E is a Jordan region and 1 : E --+ R is integrable. (a)...

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11. Suppose that E is a Jordan region and 1 : E --+ R is integrable.

(a) If I(E) ~ H, for some compact set H, and ¢ : K --+ R is continuous, prove that ¢ 0 1 is integrable on E.

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(b) Show that part

(a) is false if ¢ has even one point of discontinuity.

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