Pertanyaan

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

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

I. Sutiawan

Master Teacher

Mahasiswa/Alumni Universitas Pasundan

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah D

Pembahasan

Jadi, jawaban yang tepat adalah D

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell integral subscript blank superscript blank open parentheses fraction numerator 3 x to the power of 4 minus 2 x cubed plus 4 x squared plus 1 over denominator x squared end fraction close parentheses d x end cell equals cell integral open parentheses x to the power of negative 2 end exponent open parentheses 3 x to the power of 4 minus 2 x cubed plus 4 x squared plus 1 close parentheses close parentheses d x end cell row blank equals cell integral open parentheses 3 x squared minus 2 x plus 4 plus x to the power of negative 2 end exponent close parentheses d x end cell row blank equals cell fraction numerator 3 x cubed over denominator 3 end fraction minus fraction numerator 2 x squared over denominator 2 end fraction plus 4 x plus fraction numerator x to the power of negative 1 end exponent over denominator negative 1 end fraction plus C end cell row blank equals cell x cubed minus x squared plus 4 x minus 1 over x plus C end cell end table end style$

Jadi, jawaban yang tepat adalah D