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Hasil dari ∫ x x ​ + 3 x 3 − 9 ​ d x adalah ....

Hasil dari  adalah ....

  1. begin mathsize 14px style 2 over 3 x square root of x minus 3 x plus C end style

  2. begin mathsize 14px style 2 over 5 x square root of x minus 3 x plus C end style

  3. begin mathsize 14px style 2 x squared square root of x minus 3 x plus C end style

  4. begin mathsize 14px style 2 over 3 x squared square root of x minus 3 x plus C end style

  5. begin mathsize 14px style 2 over 5 x squared square root of x minus 3 x plus C end style

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Y. Endah

Master Teacher

Mahasiswa/Alumni Institut Teknologi Bandung

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah E.

jawaban yang tepat adalah E.

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Perhatikan bahwa Jadi, jawaban yang tepat adalah E.

Perhatikan bahwa

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell integral fraction numerator x cubed minus 9 over denominator x square root of x plus 3 end fraction d x end cell equals cell integral fraction numerator x cubed minus 9 over denominator x times x to the power of 1 half end exponent plus 3 end fraction d x end cell row blank equals cell integral fraction numerator x cubed minus 9 over denominator x to the power of 3 over 2 end exponent plus 3 end fraction d x end cell row blank equals cell integral fraction numerator left parenthesis x to the power of 3 over 2 end exponent plus 3 right parenthesis left parenthesis x to the power of 3 over 2 end exponent minus 3 right parenthesis over denominator x to the power of 3 over 2 end exponent plus 3 end fraction d x end cell row blank equals cell integral left parenthesis x to the power of 3 over 2 end exponent minus 3 right parenthesis d x end cell row blank equals cell fraction numerator x to the power of 5 over 2 end exponent over denominator 5 over 2 end fraction minus 3 x plus C end cell row blank equals cell 2 over 5 x to the power of 5 over 2 end exponent minus 3 x plus C end cell row blank equals cell 2 over 5 x squared times x to the power of 1 half end exponent minus 3 x plus C end cell row blank equals cell 2 over 5 x squared square root of x minus 3 x plus C end cell end table end style

Jadi, jawaban yang tepat adalah E.

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