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Pertanyaan

Hasil dari ∫ ( 2 − ln 3 x ) dx = … + 3 m u .

Hasil dari    

  1. begin mathsize 14px style 2 straight x minus straight x space ln space 3 straight x plus straight C end style   

  2. begin mathsize 14px style 2 straight x minus ln space 3 straight x minus straight x plus straight C end style   

  3. begin mathsize 14px style 2 straight x minus straight x left parenthesis ln space 3 straight x minus 1 right parenthesis plus straight C end style   

  4. begin mathsize 14px style straight x minus straight x left parenthesis ln space 3 straight x minus 1 right parenthesis plus straight C end style   

  5. begin mathsize 14px style straight x minus straight x left parenthesis ln space 3 straight x plus straight x right parenthesis plus straight C end style   

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N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

Ingat kembali bahwa Misalkan: Maka, Jadi, jawaban yang tepat adalah C.

Ingat kembali bahwa 

undefined  

Misalkan:

begin mathsize 14px style straight u equals 3 straight x du equals 3 space dx rightwards arrow dx equals 1 third du end style   

Maka,

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell integral 2 minus ln space 3 straight x space dx end cell equals cell integral 2 space dx minus integral ln space 3 straight x space dx end cell row blank equals cell 2 straight x minus 1 third integral ln space straight u space du end cell row blank equals cell 2 straight x minus 1 third left parenthesis straight u space ln space straight u minus straight u right parenthesis plus straight C end cell row blank equals cell 2 straight x minus 1 third straight u left parenthesis ln space straight u minus 1 right parenthesis plus straight C end cell row blank equals cell 2 straight x minus 1 third times 3 straight x left parenthesis ln space 3 straight x minus 1 right parenthesis plus straight C end cell row blank equals cell 2 straight x minus straight x left parenthesis ln space 3 straight x minus 1 right parenthesis plus straight C end cell end table end style    

Jadi, jawaban yang tepat adalah C. 

 

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