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integral fraction numerator x minus 4 over denominator square root of x plus 2 end fraction d x equals....

  1. 3 over 2 x square root of x minus 2 x plus C

  2. 3 over 2 x square root of x plus 2 x plus C

  3. x square root of x plus 2 x plus C

  4. 2 over 3 x square root of x minus 2 x plus C

  5. 2 over 3 x square root of x plus 2 x plus C

Jawaban:

integral fraction numerator x minus 4 over denominator square root of x plus 2 end fraction d x  equals integral fraction numerator left parenthesis square root of x plus 2 right parenthesis left parenthesis square root of x minus 2 right parenthesis over denominator square root of x begin display style plus end style begin display style 2 end style end fraction d x  equals integral square root of x minus 2 space d x  equals integral x to the power of bevelled 1 half end exponent minus 2 space d x  equals 2 over 3 x to the power of bevelled 3 over 2 end exponent minus 2 x plus C  equals 2 over 3 x square root of x minus 2 plus C

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