Question

og sinx cost D Check if the integral Sinx cosx dx is aboulte convergent, conditionally convergent or divergent

let f«) contiewos, positive, decreasing function (0,1] such that SEGAOX convergent. Prove: lim xfx=0 on Xtot

5 let f be integrable function on [1]. foss x H XE [o,(Excluding some points). Prove that $x + 6) dx = }} Tip is for integrab

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Answer #1

sina Cose da a pinuloson du = n gu sinar du an alow Apply Drichlet text let Un= pinan, Indu pinan ip Bounded un in MonotonicIpinan buy or Binen / due to я T YI singu que SIT Now lim ห ntos (4-1) HTT rT du ? Binau / de du LI (8-1) (8-1) TT I Lett | f

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