Pertanyaan

Tentukan integral tak tentu berikut ini! ∫ x 2 ( x 2 + 1 ) 2 d x

Tentukan integral tak tentu berikut ini!

$\int \frac{( x ^{2} + 1 ) ^{2}}{x ^{2}} d x$

F. Nur

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

Jawaban terverifikasi

Pembahasan

Jadi, hasil dari adalah

$begin mathsize 12px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell integral open parentheses x squared plus 1 close parentheses squared over x squared d x end cell row blank equals cell integral open parentheses fraction numerator x to the power of 4 plus 2 x squared plus 1 over denominator x squared end fraction close parentheses d x end cell row blank equals cell integral open parentheses x to the power of 4 over x squared plus fraction numerator 2 x squared over denominator x squared end fraction plus 1 over x squared close parentheses d x end cell row blank equals cell integral open parentheses x squared plus 2 plus x to the power of negative 2 end exponent close parentheses d x end cell row blank equals cell fraction numerator 1 over denominator 2 plus 1 end fraction x to the power of 2 plus 1 end exponent plus fraction numerator 2 over denominator 0 plus 1 end fraction x to the power of 0 plus 1 end exponent plus fraction numerator 1 over denominator negative 2 plus 1 end fraction x to the power of negative 2 plus 1 end exponent plus C end cell row blank equals cell 1 third x cubed plus 2 over 1 x to the power of 1 plus fraction numerator 1 over denominator negative 1 end fraction x to the power of negative 1 end exponent plus C end cell row blank equals cell 1 third x cubed plus 2 x minus x to the power of negative 1 end exponent plus C end cell row blank equals cell 1 third x cubed plus 2 x minus 1 over x plus C end cell end table end style$

Jadi, hasil dari adalah Error converting from MathML to accessible text.