Hasil ∫ (4x3−6x2+2x+3) dx adalah ....

Pertanyaan

Hasil $\int\;\left(4x^3-6x^2+2x+3\right)\;dx$ adalah ....

N. Mustikowati

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

Rumus Integral Aljabar.

$integral space a x to the power of n d x equals fraction numerator a over denominator n plus 1 end fraction x to the power of n plus 1 end exponent plus C$

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

Jadi, hasil integral space open parentheses 4 x cubed minus 6 x squared plus 2 x plus 3 close parentheses space d x adalah x to the power of 4 minus 2 x cubed plus x squared plus 3 x plus C .

Jadi, jawaban yang tepat adalah B.

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