Pertanyaan

Carilah integral tak tentu berikut ini. b. ∫ ( x 2 x 4 − 2 x 3 + 1 ) d x

Carilah integral tak tentu berikut ini.

b. $\int (\frac{x ^{4} - 2 x ^{3} + 1}{x ^{2}}) d x$

A. Khairunisa

Master Teacher

Mahasiswa/Alumni Universitas Negeri Semarang

Jawaban terverifikasi

Jawaban

hasil dari integral fungsi di atas yaitu .

hasil dari integral fungsi di atas yaitu 1 third x cubed minus x squared minus 1 over x plus straight C

Pembahasan

Integral tak tentu fungsi aljabar. Dengan demikian, hasil dari integral fungsi di atas yaitu .

Integral tak tentu fungsi aljabar.

$integral open parentheses fraction numerator x to the power of 4 minus 2 x cubed plus 1 over denominator x squared end fraction close parentheses d x equals integral open parentheses x squared minus 2 x plus x to the power of negative 2 end exponent close parentheses d x equals fraction numerator 1 over denominator 2 plus 1 end fraction x to the power of 2 plus 1 end exponent minus fraction numerator 2 over denominator 1 plus 1 end fraction x to the power of 1 plus 1 end exponent plus fraction numerator 1 over denominator negative 2 plus 1 end fraction x to the power of negative 2 plus 1 end exponent plus straight C equals 1 third x cubed minus x squared minus x to the power of negative 1 end exponent plus straight C equals 1 third x cubed minus x squared minus 1 over x plus straight C$

Dengan demikian, hasil dari integral fungsi di atas yaitu 1 third x cubed minus x squared minus 1 over x plus straight C .