[微積] 高微一題

看板Math作者 (嘻哈男孩)時間12年前 (2012/05/14 22:00), 編輯推噓1(1推 0噓 3→)
留言4則, 2人參與, 最新討論串3/5 (看更多)
β f is Riemann integrable on [a,b]，∫ f(x)dx = 0，for all a<=α<=β<=b α b prove that ∫|f(x)|dx = 0 a 不知如何下手 懇請解答 感謝 -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 114.43.114.30
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05/14 22:31, , 1F
{x:f(x)>0} is open in [a,b]
05/14 22:31, 1F
推
05/14 23:59, , 2F
f may not be conti
05/14 23:59, 2F
→
05/15 00:01, , 3F
write f=f_+ - f_-, reduce to f is positive
05/15 00:01, 3F
→
05/15 00:01, , 4F
then get contradiction via go through the defini.
05/15 00:01, 4F
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文章代碼(AID): #1FiH0Bij (Math)