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Pertanyaan

integral fraction numerator 2 x cubed minus 3 x squared plus 1 over denominator x squared end fraction d x equals.... 

  1. x squared minus 3 x plus 1 over x plus C 

  2. x squared minus 3 x minus 1 over x plus C 

  3. x squared minus 3 x plus 1 over x squared plus C 

  4. x squared minus 3 x minus 1 over x squared plus C 

  5. 1 half x squared minus 3 x plus 1 over x squared plus C  

Pembahasan Soal:

begin mathsize 12px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell integral fraction numerator 2 x cubed minus 3 x squared plus 1 over denominator x squared end fraction d x end cell row blank equals cell integral fraction numerator 2 x cubed over denominator x squared end fraction minus fraction numerator 3 x squared over denominator x squared end fraction plus 1 over x squared d x end cell row blank equals cell integral 2 x minus 3 plus 1 x to the power of negative 2 end exponent d x end cell row blank equals cell fraction numerator 2 over denominator 1 plus 1 end fraction x to the power of 1 plus 1 end exponent minus fraction numerator 3 over denominator 0 plus 1 end fraction x to the power of 0 plus 1 end exponent plus fraction numerator 1 over denominator negative 2 plus 1 end fraction x to the power of negative 2 plus 1 end exponent plus C end cell row blank equals cell 2 over 2 x squared minus 3 over 1 x to the power of 1 plus fraction numerator 1 over denominator negative 1 end fraction x to the power of negative 1 end exponent plus C end cell row blank equals cell x squared minus 3 x minus x to the power of negative 1 end exponent plus C end cell row blank equals cell x squared minus 3 x minus 1 over x plus C end cell end table end style    

Jadi, jawaban yang tepat adalah B.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 04 Mei 2021

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