Pertanyaan

∫ 3 x 7 2 d x

$\int \frac{2}{3 x ^{7}} d x$

G. Albiah

Master Teacher

Mahasiswa/Alumni Universitas Galuh Ciamis

Jawaban terverifikasi

Jawaban

hasil dari adalah .

hasil dari $integral subscript blank fraction numerator 2 over denominator 3 x to the power of 7 end fraction d x$ adalah $table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 1 over denominator 9 x to the power of 6 end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank C end table$ .

Pembahasan

Gunakan aturan : Masukkan ke dalam integral : Jadi, hasil dari adalah .

$integral subscript blank fraction numerator 2 over denominator 3 x to the power of 7 end fraction d x equals 2 over 3 integral 1 over x to the power of 7 d x$

Gunakan aturan :

$table attributes columnalign right center left columnspacing 0px end attributes row cell integral x to the power of n straight d x end cell equals cell fraction numerator straight x to the power of straight n plus 1 end exponent over denominator straight n plus 1 end fraction end cell row straight n equals cell negative 7 end cell row cell integral 1 over straight x to the power of 7 dx end cell equals cell fraction numerator straight x to the power of negative 7 plus 1 end exponent over denominator negative 7 plus 1 end fraction end cell row blank equals cell fraction numerator straight x to the power of negative 6 end exponent over denominator negative 6 end fraction end cell row blank equals cell negative fraction numerator 1 over denominator 6 straight x to the power of 6 end fraction end cell end table$

Masukkan ke dalam integral :

$table attributes columnalign right center left columnspacing 0px end attributes row cell integral subscript blank fraction numerator 2 over denominator 3 x to the power of 7 end fraction d x end cell equals cell 2 over 3 integral 1 over x to the power of 7 d x end cell row blank equals cell 2 over 3 cross times open parentheses negative fraction numerator 1 over denominator 6 x to the power of 6 end fraction close parentheses plus C end cell row blank equals cell negative fraction numerator 2 over denominator 18 x to the power of 6 end fraction plus C end cell row blank equals cell negative fraction numerator 1 over denominator 9 x to the power of 6 end fraction plus C end cell row blank blank blank end table$

Jadi, hasil dari $integral subscript blank fraction numerator 2 over denominator 3 x to the power of 7 end fraction d x$ adalah $table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 1 over denominator 9 x to the power of 6 end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank C end table$ .