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∫ 2 x ( x − 3 ) 10 d x = ....

....

  1. undefined 

  2. undefined 

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Misal: Note : baris ke-4di atas bukan hasil dari nyoret dx loh yah, tetapi akibatnya didapat hasil integral berikut ini. sehingga didapat

begin mathsize 14px style integral 2 x left parenthesis x minus 3 right parenthesis to the power of 10 space d x equals end style

Misal:

u equals x minus 3 left right double arrow x equals u plus 3

table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator straight d u over denominator straight d x end fraction end cell equals 1 row cell integral open parentheses fraction numerator straight d u over denominator straight d x end fraction close parentheses straight d x end cell equals cell integral 1 straight d x end cell row cell integral straight d u end cell equals cell integral straight d x end cell row blank blank blank end table

Note : baris ke-4 di atas bukan hasil dari nyoret dx loh yah, tetapi akibatnya didapat hasil integral berikut ini.

sehingga didapat

begin mathsize 14px style integral 2 x left parenthesis x minus 3 right parenthesis to the power of 10 d x equals integral 2 left parenthesis u plus 3 right parenthesis u to the power of 10 space d u space space space space space space space space space space space space space space space space space space space space space space space space equals integral open parentheses 2 u to the power of 11 plus 6 u to the power of 10 close parentheses space d u space space space space space space space space space space space space space space space space space space space space space space space space equals begin inline style 1 over 12 end style cross times 2 u to the power of 12 plus begin inline style 1 over 11 end style cross times 6 u to the power of 11 plus C space space space space space space space space space space space space space space space space space space space space space space space space equals begin inline style 1 over 6 end style u to the power of 12 plus begin inline style 6 over 11 end style u to the power of 11 plus C space space space space space space space space space space space space space space space space space space space space space space space space equals begin inline style 1 over 6 end style open parentheses x minus 3 close parentheses to the power of 12 plus begin inline style 6 over 11 end style open parentheses x minus 3 close parentheses to the power of 11 plus C end style

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