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Hasil dari ∫ x 2 ( 5 x 2 + 12 x − 6 ) d x adalah ...

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L. Marlina

Master Teacher

Mahasiswa/Alumni Institut Teknologi Bandung

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 integral x squared open parentheses 5 x squared plus 12 x minus 6 close parentheses d x equals x to the power of 5 plus 3 x to the power of 4 minus 2 x cubed plus c

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Ingat, . Maka, Jadi, .

Ingat, integral a x to the power of n d x equals fraction numerator a over denominator n plus 1 end fraction x to the power of n plus 1 end exponent comma space n not equal to negative 1. Maka,

integral x squared open parentheses 5 x squared plus 12 x minus 6 close parentheses d x equals integral open parentheses 5 x to the power of 4 plus 12 x cubed minus 6 x squared close parentheses d x space space space space space space space space space space space space space 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 5 over 5 x to the power of 5 plus 12 over 4 x to the power of 4 minus 6 over 3 x cubed 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 space space space space space space space space space space space space space equals x to the power of 5 plus 3 x to the power of 4 minus 2 x cubed plus c 

Jadi, integral x squared open parentheses 5 x squared plus 12 x minus 6 close parentheses d x equals x to the power of 5 plus 3 x to the power of 4 minus 2 x cubed plus c

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