∫ 4x3−9x2+4x−8 adalah ....

Pertanyaan

integral space 4 x cubed minus 9 x squared plus 4 x minus 8 adalah ....

  1. x to the power of 4 minus 3 x cubed plus 2 x squared minus 8 x plus C 

  2. 4 over 3 x to the power of 4 minus 3 x cubed plus 2 x squared minus 8 x plus C 

  3. x cubed minus 3 x squared plus 2 x minus 8 plus C 

  4. x to the power of 4 minus x cubed plus 2 x squared minus 8 x plus C 

  5. x to the power of 4 minus 3 x cubed plus x squared minus 8 x plus C 

A. Acfreelance

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Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah A.

Pembahasan

Dengan menerapkan konsep integral tak tentu fungsi aljabar, diperoleh perhitungan sebagai berikut.

 begin mathsize 12px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell integral space 4 x cubed minus 9 x squared plus 4 x minus 8 space d x end cell row blank equals cell fraction numerator 4 over denominator 3 plus 1 end fraction x to the power of 3 plus 1 end exponent minus fraction numerator 9 over denominator 2 plus 1 end fraction x to the power of 2 plus 1 end exponent plus fraction numerator 4 over denominator 1 plus 1 end fraction x to the power of 1 plus 1 end exponent minus 8 x plus C end cell row blank equals cell 4 over 4 x to the power of 4 minus 9 over 3 x cubed plus 4 over 2 x squared minus 8 x plus C end cell row blank equals cell x to the power of 4 minus 3 x cubed plus 2 x squared minus 8 x plus C end cell end table end style 

Jadi, hasil dari integral space 4 x cubed minus 9 x squared plus 4 x minus 8 adalah x to the power of 4 minus 3 x cubed plus 2 x squared minus 8 x plus C.

Dengan demikian, jawaban yang tepat adalah A.

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