A Property of Definite Integral

  • Thread starter zorro
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  • #1
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Can somebody give me an example of a definite integral satisfying this property? :

\\\&space;\textup{such&space;that}&space;\&space;c_{1},&space;c_{2}......c_{n}\notin&space;[a,b].gif
 

Answers and Replies

  • #2
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[tex]\int_1^2 x~dx = 3/2[/tex]
Let c1 = -1, and c2 = -2

Compare the first integral with
[tex]\int_1^{-1} x~dx + \int_{-1}^{-2} x~dx + \int_{-2}^{2} x~dx[/tex]

What do you get?
 
  • #3
HallsofIvy
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That's true for any integral as long as the integrand is integrable over all those intervals!
 
  • #4
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Thanks!
 

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