Pertanyaan

Selesaikanlah integral berikut! f. ∫ ( 2 x − x 3 ) 2 d x

Selesaikanlah integral berikut!

f. $\int (2 x - \frac{3}{x})^{2} d x$

R. Septa

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Jawaban

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Pembahasan

Perhatikan perhitungan berikut. Jadi, .

Perhatikan perhitungan berikut.

$table attributes columnalign right center left columnspacing 0px end attributes row cell integral open parentheses 2 x minus 3 over x close parentheses squared space straight d x end cell equals cell integral open parentheses 2 x minus 3 x to the power of negative 1 end exponent close parentheses squared space straight d x end cell row blank equals cell integral 4 x squared minus 2 times 2 x times 3 x to the power of negative 1 end exponent plus 9 x to the power of negative 2 end exponent space straight d x end cell row blank equals cell integral 4 x squared minus 12 plus 9 x to the power of negative 2 end exponent space straight d x end cell row blank equals cell 4 over 3 x cubed minus 12 x plus fraction numerator 9 over denominator negative 1 end fraction x to the power of negative 1 end exponent plus C end cell row blank equals cell 4 over 3 x cubed minus 12 x minus 9 x to the power of negative 1 end exponent plus C end cell row blank equals cell 4 over 3 x cubed minus 12 x minus 9 over x plus C end cell end table$

Jadi, Error converting from MathML to accessible text. .