Pertanyaan

Selesaikanlah integral berikut! d. ∫ x 3 x 9 − 3 d x

Selesaikanlah integral berikut!

d. $\int \frac{x ^{9} - 3}{x ^{3}} d x$

R. Septa

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Jawaban

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Error converting from MathML to accessible text.

Pembahasan

Perhatikan perhitungan berikut. Jadi, .

Perhatikan perhitungan berikut.

$table attributes columnalign right center left columnspacing 0px end attributes row cell integral fraction numerator x to the power of 9 minus 3 over denominator x cubed end fraction space straight d x end cell equals cell integral x to the power of negative 3 end exponent open parentheses x to the power of 9 minus 3 close parentheses space straight d x end cell row blank equals cell integral x to the power of 6 minus 3 x to the power of negative 3 end exponent space straight d x end cell row blank equals cell 1 over 7 x to the power of 7 minus fraction numerator 3 over denominator negative 2 end fraction x to the power of negative 2 end exponent plus C end cell row blank equals cell 1 over 7 x to the power of 7 plus 3 over 2 x to the power of negative 2 end exponent plus C end cell row blank equals cell 1 over 7 x to the power of 7 plus fraction numerator 3 over denominator 2 x squared end fraction plus C end cell end table$

Jadi, Error converting from MathML to accessible text. .