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Tentukan hasil dari begin mathsize 14px style integral left parenthesis 2 x minus 1 right parenthesis left parenthesis x plus 4 right parenthesis space d x end style.

  1. ...undefined

  2. ...undefined

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Perhatikan perhitungan berikut.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell integral left parenthesis 2 x minus 1 right parenthesis left parenthesis x plus 4 right parenthesis space d x end cell equals cell integral open parentheses 2 x squared plus 8 x minus x minus 4 close parentheses space d x end cell row blank equals cell integral open parentheses 2 x squared plus 7 x minus 4 close parentheses space d x end cell row blank equals cell integral 2 x squared space d x plus integral 7 x space d x minus integral 4 space d x end cell row blank equals cell fraction numerator 2 over denominator 2 plus 1 end fraction x to the power of 2 plus 1 end exponent plus fraction numerator 7 over denominator 1 plus 1 end fraction x to the power of 1 plus 1 end exponent minus 4 x plus C end cell row blank equals cell 2 over 3 x cubed plus 7 over 2 x squared minus 4 x plus C end cell row blank blank blank end table end style 

Jadi, hasil dari begin mathsize 14px style integral left parenthesis 2 x minus 1 right parenthesis left parenthesis x plus 4 right parenthesis space d x end style adalah begin mathsize 14px style 2 over 3 x cubed plus 7 over 2 x squared minus 4 x plus C end style.

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Terakhir diupdate 12 April 2021

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