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Tentukan integral tak tentu berikut ini! ∫ x 2 x 4 + 1 d x

Tentukan integral tak tentu berikut ini!

$\int \frac{x ^{4} + 1}{x ^{2}} d x$

F. Nur

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

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hasil dari adalah

hasil dari $begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank integral end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator x to the power of 4 plus 1 over denominator x squared end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank d end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank x end table end style$ adalah Error converting from MathML to accessible text.

Error converting from MathML to accessible text.

Pembahasan

Jadi, hasil dari adalah

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

Jadi, hasil dari $begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank integral end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator x to the power of 4 plus 1 over denominator x squared end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank d end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank x end table end style$ adalah Error converting from MathML to accessible text.

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