Pertanyaan

Hasil dari ∫ x 2 6 x 4 − 4 x 3 + 2 x 2 − 1 d x adalah ....

Hasil dari $\int \frac{6 x ^{4} - 4 x ^{3} + 2 x ^{2} - 1}{x ^{2}} d x$ adalah ....

A. Rizky

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah B.

Pembahasan

Jadi, jawaban yang benar adalah B.

$begin mathsize 14px style integral subscript blank fraction numerator 6 x to the power of 4 minus 4 x cubed plus 2 x squared minus 1 over denominator x squared end fraction d x equals integral subscript blank open parentheses fraction numerator 6 x to the power of 4 over denominator x squared end fraction minus fraction numerator 4 x cubed over denominator x squared end fraction plus fraction numerator 2 x squared over denominator x squared end fraction minus 1 over x squared close parentheses d x equals integral subscript blank open parentheses 6 x squared minus 4 x plus 2 minus 1 over x squared close parentheses d x equals fraction numerator 6 over denominator 2 plus 1 end fraction x to the power of 2 plus 1 end exponent minus fraction numerator 4 over denominator 1 plus 1 end fraction x to the power of 1 plus 1 end exponent plus fraction numerator 2 over denominator 0 plus 1 end fraction x to the power of 0 plus 1 end exponent minus fraction numerator 1 over denominator negative 2 plus 1 end fraction x to the power of negative 2 plus 1 end exponent plus C equals 2 x cubed minus 2 x squared plus 2 x plus 1 over x plus C end style$

Jadi, jawaban yang benar adalah B.