Pertanyaan

hasil dari ∫ 8 x ( 6 x − 1 ) 3 1 ​ d x = .....

hasil dari

  1. x left parenthesis 6 x minus 1 right parenthesis to the power of 4 over 3 end exponent minus 1 over 14 left parenthesis 6 x minus 1 right parenthesis to the power of 7 over 3 end exponent plus c

  2. undefined

  3. x left parenthesis 6 x minus 1 right parenthesis to the power of 4 over 3 end exponent plus 4 over 7 left parenthesis 6 x minus 1 right parenthesis to the power of 7 over 3 end exponent plus C

  4. 6 x left parenthesis 6 x minus 1 right parenthesis to the power of 4 over 3 end exponent minus 24 over 7 left parenthesis 6 x minus 1 right parenthesis to the power of 7 over 3 end exponent plus C

  5. 6 x left parenthesis 6 x minus 1 right parenthesis to the power of 4 over 3 end exponent plus 24 over 7 left parenthesis 6 x minus 1 right parenthesis to the power of 7 over 3 end exponent plus C

I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

Jawaban A Misalkan : u =8 x maka du =8 dx maka : Sehingga,

Jawaban A

Misalkan :

u=8x maka du=8 dx

d v equals left parenthesis 6 x minus 1 right parenthesis to the power of 1 third end exponent space d x maka :

v space equals integral left parenthesis 6 x minus 1 right parenthesis to the power of 1 third end exponent d x

equals 1 over 6 integral open parentheses 6 x minus 1 close parentheses to the power of 1 third end exponent d x

equals 1 over 6 integral open parentheses 6 x minus 1 close parentheses to the power of 1 third end exponent d left parenthesis 6 x minus 1 right parenthesis d x

equals 1 over 6.3 over 4 left parenthesis 6 x minus 1 right parenthesis to the power of 4 over 3 end exponent

equals 1 over 8 left parenthesis 6 x minus 1 right parenthesis to the power of 4 over 3 end exponent

 

Sehingga,

integral 8 x left parenthesis 6 x minus 1 right parenthesis to the power of 1 third end exponent d x

equals 8 x times 1 over 8 left parenthesis 6 x minus 1 right parenthesis to the power of 4 over 3 end exponent minus integral 1 over 8 left parenthesis 6 x minus 1 right parenthesis to the power of 4 over 3 end exponent times 8 space d x

equals x left parenthesis 6 x minus 1 right parenthesis to the power of 4 over 3 end exponent minus integral left parenthesis 6 x minus 1 right parenthesis to the power of 4 over 3 end exponent d x

equals x left parenthesis 6 x minus 1 right parenthesis to the power of 4 over 3 end exponent minus 1 over 6 integral left parenthesis 6 x minus 1 right parenthesis to the power of 4 over 3 end exponent d left parenthesis 6 x minus 1 right parenthesis

equals x left parenthesis 6 x minus 1 right parenthesis to the power of 4 over 3 end exponent minus 1 over 6 times 3 over 7 left parenthesis 6 x minus 1 right parenthesis to the power of 7 over 3 end exponent plus c

equals x left parenthesis 6 x minus 1 right parenthesis to the power of 4 over 3 end exponent minus 1 over 14 left parenthesis 6 x minus 1 right parenthesis to the power of 7 over 3 end exponent plus c

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