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∫(12x2−4x+1)dx

Pertanyaan

integral open parentheses 12 straight x squared minus 4 straight x plus 1 close parentheses d x

  1. 6 straight x cubed minus 4 straight x squared plus straight x plus straight C

  2. 6 straight x cubed minus 4 straight x squared plus straight C

  3. 4 straight x cubed plus 2 straight x squared plus straight x plus straight C

  4. 4 straight x cubed minus 2 straight x squared plus straight x plus straight C

  5. 4 straight x cubed plus 2 straight x squared plus straight x plus straight C

A. Rahmawati

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah E.

Pembahasan

Rumus dasar integral tak tentu

table attributes columnalign right center left columnspacing 0px end attributes row cell integral x to the power of n d x end cell equals cell fraction numerator 1 over denominator n plus 1 end fraction x to the power of n plus 1 end exponent plus C end cell end table

maka

table attributes columnalign right center left columnspacing 0px end attributes row cell integral open parentheses 12 straight x squared minus 4 straight x plus 1 close parentheses dx end cell equals cell fraction numerator 12 over denominator 2 plus 1 end fraction straight x to the power of 2 plus 1 end exponent minus fraction numerator 4 over denominator 1 plus 1 end fraction straight x to the power of 1 plus 1 end exponent plus 1 straight x end cell row blank equals cell 12 over 3 straight x cubed plus 4 over 2 straight x squared plus straight x end cell row blank equals cell 4 straight x squared plus 2 straight x squared plus straight x space plus straight C end cell end table

Jadi, hasil dari integral open parentheses 12 straight x squared minus 4 straight x plus 1 close parentheses d x equals 4 x cubed plus 2 x squared plus x plus C.

Oleh karena itu, jawaban yang benar adalah E.

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