If f(x) is continuous in (0,∞) and f(x)/x is integrable on (a, ∞) for any a > 0,
show that ∫_(0,∞) [f(ax)-f(bx)]/x dx = f(0) ln(b/a), for any a>0, b>0.
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An integral formula
2011-07-24 9:24 am
回答 (1)
2011-07-28 7:05 am
收錄日期: 2021-04-23 23:26:34
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https://hk.answers.yahoo.com/question/index?qid=20110724000051KK00112