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Real Analysis : Integral Proof

If X(c,d) is the function from into such that X(c,d)(x)={1 if xE(c,d) and (c,d)⊂[a,b], show that ∫a-->b Xc,d =d-c.
{0 otherwise
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An integral proof is provided. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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