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Hasil dari adalah......

Hasil dari integral x squared open parentheses 2 minus x cubed close parentheses to the power of 1 half end exponent space d x adalah......

  1. negative 2 over 3 open parentheses 2 minus x cubed close parentheses to the power of 3 over 2 end exponent plus C

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

  3. negative 2 over 9 open parentheses 2 minus x cubed close parentheses to the power of 3 over 2 end exponent plus C

  4. 2 over 9 open parentheses 2 minus x cubed close parentheses to the power of 3 over 2 end exponent plus C

  5. 2 over 3 open parentheses 2 minus x cubed close parentheses to the power of 3 over 2 end exponent plus C

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Y. Endah

Master Teacher

Mahasiswa/Alumni Institut Teknologi Bandung

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Pembahasan

integral x squared open parentheses 2 minus x cubed close parentheses to the power of 1 half end exponent space d x  A m b i l  u equals 2 minus x cubed rightwards double arrow fraction numerator d u over denominator d x end fraction equals negative 3 x squared rightwards double arrow d x equals negative fraction numerator d u over denominator 3 x squared end fraction  integral x squared u to the power of 1 half end exponent space open parentheses negative fraction numerator d u over denominator 3 x squared end fraction close parentheses  minus 1 third integral u to the power of 1 half end exponent space d u  minus 1 third open parentheses 2 over 3 close parentheses u to the power of 3 over 2 end exponent plus C  minus 2 over 9 open parentheses 2 minus x cubed close parentheses to the power of 3 over 2 end exponent plus C

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