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∫ − 1 3 ​ ( 3 x 3 − 4 x + 1 ) d x = ...

 

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D. Nuryani

Master Teacher

Mahasiswa/Alumni Universitas Padjadjaran

Jawaban terverifikasi

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hasil dari adalah .

hasil dari integral subscript negative 1 end subscript superscript 3 open parentheses 3 x cubed minus 4 x plus 1 close parentheses d x adalah 48.

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Pembahasan

Penyelesaian integral tentu pada soal adalah: Dengan demikian, hasil dari adalah .

Penyelesaian integral tentu pada soal adalah:

table attributes columnalign right center left columnspacing 0px end attributes row cell integral subscript negative 1 end subscript superscript 3 open parentheses 3 x cubed minus 4 x plus 1 close parentheses d x end cell equals cell integral subscript negative 1 end subscript superscript 3 3 x cubed d x minus integral subscript negative 1 end subscript superscript 3 4 x d x plus integral subscript negative 1 end subscript superscript 3 1 d x end cell row blank equals cell open square brackets 3 over 4 x to the power of 4 close square brackets subscript negative 1 end subscript superscript 3 minus open square brackets 4 over 2 x squared close square brackets subscript negative 1 end subscript superscript 3 plus open square brackets x close square brackets subscript negative 1 end subscript superscript 3 end cell row blank equals cell open square brackets 3 over 4 open parentheses 3 to the power of 4 close parentheses minus open parentheses 3 over 4 open parentheses negative 1 close parentheses to the power of 4 close parentheses close square brackets minus open square brackets 2 open parentheses 3 close parentheses squared minus 2 open parentheses negative 1 close parentheses squared close square brackets plus open square brackets 3 minus open parentheses negative 1 close parentheses close square brackets end cell row blank equals cell open square brackets 3 over 4 open parentheses 81 close parentheses minus 3 over 4 close square brackets minus open square brackets 2 open parentheses 9 close parentheses minus 2 close square brackets plus 4 end cell row blank equals cell fraction numerator 3 open parentheses 81 minus 1 close parentheses over denominator 4 end fraction minus 16 plus 4 end cell row blank equals cell 60 minus 16 plus 4 end cell row blank equals cell 48. end cell end table

Dengan demikian, hasil dari integral subscript negative 1 end subscript superscript 3 open parentheses 3 x cubed minus 4 x plus 1 close parentheses d x adalah 48.

Latihan Bab

Integral Fungsi Trigonometri

Integral Substitusi Trigonometri

Integral Tentu

Integral Parsial

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