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∫ ln x d x = …


 

  1. begin mathsize 14px style ln invisible function application straight x minus straight x space plus space straight C end style

  2. Error converting from MathML to accessible text.
     

  3. begin mathsize 14px style 1 half ln squared invisible function application straight x plus straight C end style

  4. begin mathsize 14px style ln squared invisible function application straight x plus straight C end style

  5. begin mathsize 14px style 1 over straight x plus straight C end style

     

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N. Mustikowati

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

Dengan menggunakan integral parsial :

Dengan menggunakan integral parsial :

begin mathsize 14px style straight u equals ln invisible function application straight x left right double arrow du equals 1 over straight x dx dv equals dx left right double arrow straight v equals integral dx equals straight x Sehingga space integral udv equals uv minus integral vdu integral ln invisible function application xdx equals straight x. ln invisible function application straight x minus integral straight x.1 over straight x dx integral ln invisible function application xdx equals straight x. ln invisible function application straight x minus integral dx integral ln invisible function application xdx equals straight x. ln invisible function application straight x minus straight x plus straight C end style

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