Pertanyaan

Tentukan integral berikut. ∫ ( 6 − x 2 4 + 5 x 4 1 ) d x

Tentukan integral berikut.

$\int (6 - \frac{4}{x ^{2}} + \frac{1}{5 x ^{4}}) d x$

J. Joko

Master Teacher

Jawaban terverifikasi

Jawaban

hasil dari adalah .

hasil dari $begin mathsize 14px style integral open parentheses 6 minus 4 over x squared plus fraction numerator 1 over denominator 5 x to the power of 4 end fraction close parentheses space d x end style$ adalah $begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank 6 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank x end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 4 over x end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 1 over denominator 15 x cubed end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank C end table end style$ .

Pembahasan

Perhatikan perhitungan berikut! Jadi, hasil dari adalah .

Perhatikan perhitungan berikut!

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell integral open parentheses 6 minus 4 x to the power of negative 2 end exponent plus 1 fifth x to the power of negative 4 end exponent close parentheses d x end cell row blank equals cell integral 6 space d x minus 4 integral x to the power of negative 2 end exponent space d x plus 1 fifth integral x to the power of negative 4 end exponent space d x end cell row blank equals cell 6 x minus fraction numerator 4 over denominator negative 2 plus 1 end fraction x to the power of negative 2 plus 1 end exponent plus fraction numerator 1 over denominator 5 left parenthesis negative 4 plus 1 right parenthesis end fraction x to the power of negative 4 plus 1 end exponent plus C end cell row blank equals cell 6 x plus 4 over x minus fraction numerator 1 over denominator 15 x cubed end fraction plus C end cell end table end style$

Jadi, hasil dari $begin mathsize 14px style integral open parentheses 6 minus 4 over x squared plus fraction numerator 1 over denominator 5 x to the power of 4 end fraction close parentheses space d x end style$ adalah $begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank 6 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank x end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 4 over x end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 1 over denominator 15 x cubed end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank C end table end style$ .