Integration proof

  • Thread starter Rony
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  • #1
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Homework Statement



prove or refute : let f(x), g(x) be integrable functions on [a,b] so |f(x)-g(x)| integrable on a [a,b]

Homework Equations





The Attempt at a Solution


I'm pretty sure that it's right, I just can't find formal proof, someone can give me direction.
 

Answers and Replies

  • #2
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Welcome Rony,
Use the triangle inequality |f(x)-g(x)| <= |f|+|g| to prove finiteness & the fact that f-g can be approximated with the corresponding differences of step functions
approximating f & g.
 

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