Pertanyaan

∫ 12 x ( x − 1 ) 2 d x = ...

$\int 12 x (x - 1)^{2} d x = ...$

Y. Herlanda

Master Teacher

Mahasiswa/Alumni STKIP PGRI Jombang

Jawaban terverifikasi

Pembahasan

Jadi, .

$table attributes columnalign right center left columnspacing 0px end attributes row cell integral 12 x open parentheses x minus 1 close parentheses squared space d x end cell equals cell integral 12 x open parentheses x minus 1 close parentheses open parentheses x minus 1 close parentheses space d x end cell row blank equals cell integral 12 x open parentheses x squared minus 2 x plus 1 close parentheses space d x end cell row blank equals cell integral 12 x cubed minus 24 x squared plus 12 x space d x end cell row blank equals cell fraction numerator 1 over denominator 3 plus 1 end fraction 12 x to the power of 3 plus 1 end exponent minus fraction numerator 1 over denominator 2 plus 1 end fraction 24 x to the power of 2 plus 1 end exponent plus fraction numerator 1 over denominator 1 plus 1 end fraction 12 x to the power of 1 plus 1 end exponent plus C end cell row blank equals cell 1 fourth 12 x to the power of 4 minus 1 third 24 x cubed plus 1 half 12 x squared plus C end cell row blank equals cell 3 x to the power of 4 minus 8 x cubed plus 6 x squared plus C end cell end table$

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