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Hasil dari

Hasil dari integral open parentheses 3 x plus 1 close parentheses square root of 3 x squared plus 2 x minus 4 end root space d x equals....

  1. 1 half open parentheses 3 x squared plus 2 x minus 4 close parentheses to the power of 3 over 2 end exponent plus C

  2. 1 third open parentheses 3 x squared plus 2 x minus 4 close parentheses to the power of 3 over 2 end exponent plus C

  3. 1 over 6 open parentheses 3 x squared plus 2 x minus 4 close parentheses to the power of 3 over 2 end exponent plus C

  4. 1 over 12 open parentheses 3 x squared plus 2 x minus 4 close parentheses to the power of 3 over 2 end exponent plus C

  5. 1 over 18 open parentheses 3 x squared plus 2 x minus 4 close parentheses to the power of 3 over 2 end exponent plus C

Jawaban:

integral open parentheses 3 straight x plus 1 close parentheses square root of 3 straight x squared plus 2 straight x minus 4 end root straight space dx  Gunakan space integral space subtitusi  straight u equals 3 straight x squared plus 2 straight x minus 4  du equals 6 straight x plus 2 space dx  1 half du equals 3 straight x plus 1 space dx  Maka space bentuk space pada space soal space dapat space ditulis space colon  integral open parentheses 3 straight x plus 1 close parentheses square root of 3 straight x squared plus 2 straight x minus 4 end root straight space dx  equals integral square root of 3 straight x squared plus 2 straight x minus 4 end root open parentheses 3 straight x plus 1 close parentheses straight space dx  equals integral square root of straight u open parentheses 1 half du close parentheses  equals 1 half integral straight u to the power of 1 half end exponent straight space du  equals 1 half.2 over 3 straight u to the power of 3 over 2 end exponent plus straight C  equals 1 third open parentheses 3 straight x squared plus 2 straight x minus 4 close parentheses to the power of 3 over 2 end exponent plus straight C

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