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

Tentukan integral tak tentu berikut ini!

        

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F. Nur

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

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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 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 open parentheses x squared plus 1 close parentheses squared over x squared 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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