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Pertanyaan

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

Hasil dari    

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

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

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

  4. begin mathsize 14px style 1 half straight x space ln squared space left parenthesis 2 straight x right parenthesis plus straight C end style   

  5. begin mathsize 14px style 2 straight x space ln squared space left parenthesis 2 straight x right parenthesis plus straight C end style   

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N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

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Pembahasan

Misalkan: Maka, Jadi, jawaban yang tepat adalah B.

Misalkan:

begin mathsize 14px style straight u equals ln space left parenthesis 2 straight x right parenthesis du equals 1 half straight x times 2 straight x space dx du equals 1 over straight x space dx rightwards arrow dx equals straight x space du end style   

Maka,

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell integral open parentheses fraction numerator ln space 2 straight x over denominator straight x end fraction close parentheses dx end cell equals cell integral straight u over straight x times straight x space du end cell row blank equals cell integral straight u space du end cell row blank equals cell 1 half straight u squared plus straight C end cell row blank equals cell 1 half space ln squared space left parenthesis 2 straight x right parenthesis plus straight C end cell end table end style   

Jadi, jawaban yang tepat adalah B. 

 

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

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