If f(x) is integrable on [a,b], let g(x)=min(f(x),10). Is g(x) integrable on [a,b]? (Prove or find a...












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Any hint? I am thinking about the trignometric function as a counterexample, but I still cannot have a clue.










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    $begingroup$
    Please see this post: math.stackexchange.com/questions/86031/….
    $endgroup$
    – Metric
    Jan 13 at 1:08










  • $begingroup$
    If the integrals are in Lebesgue sense then the answer is YES.
    $endgroup$
    – Kavi Rama Murthy
    Jan 13 at 4:59
















0












$begingroup$


Any hint? I am thinking about the trignometric function as a counterexample, but I still cannot have a clue.










share|cite|improve this question









$endgroup$








  • 1




    $begingroup$
    Please see this post: math.stackexchange.com/questions/86031/….
    $endgroup$
    – Metric
    Jan 13 at 1:08










  • $begingroup$
    If the integrals are in Lebesgue sense then the answer is YES.
    $endgroup$
    – Kavi Rama Murthy
    Jan 13 at 4:59














0












0








0





$begingroup$


Any hint? I am thinking about the trignometric function as a counterexample, but I still cannot have a clue.










share|cite|improve this question









$endgroup$




Any hint? I am thinking about the trignometric function as a counterexample, but I still cannot have a clue.







calculus






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asked Jan 13 at 0:51









RayHH13RayHH13

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  • 1




    $begingroup$
    Please see this post: math.stackexchange.com/questions/86031/….
    $endgroup$
    – Metric
    Jan 13 at 1:08










  • $begingroup$
    If the integrals are in Lebesgue sense then the answer is YES.
    $endgroup$
    – Kavi Rama Murthy
    Jan 13 at 4:59














  • 1




    $begingroup$
    Please see this post: math.stackexchange.com/questions/86031/….
    $endgroup$
    – Metric
    Jan 13 at 1:08










  • $begingroup$
    If the integrals are in Lebesgue sense then the answer is YES.
    $endgroup$
    – Kavi Rama Murthy
    Jan 13 at 4:59








1




1




$begingroup$
Please see this post: math.stackexchange.com/questions/86031/….
$endgroup$
– Metric
Jan 13 at 1:08




$begingroup$
Please see this post: math.stackexchange.com/questions/86031/….
$endgroup$
– Metric
Jan 13 at 1:08












$begingroup$
If the integrals are in Lebesgue sense then the answer is YES.
$endgroup$
– Kavi Rama Murthy
Jan 13 at 4:59




$begingroup$
If the integrals are in Lebesgue sense then the answer is YES.
$endgroup$
– Kavi Rama Murthy
Jan 13 at 4:59










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