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Hasil dari

Hasil dari integral fraction numerator 2 x over denominator square root of x squared plus 1 end root end fraction d x equals...

  1. 1 third square root of x squared plus 1 end root plus C

  2. 1 half square root of x squared plus 1 end root plus C

  3. 2 square root of x squared plus 1 end root plus C

  4. 3 square root of x squared plus 1 end root plus C

  5. 6 square root of x squared plus 1 end root plus C

Jawaban:

integral fraction numerator 2 x over denominator square root of x squared plus 1 end root end fraction d x  u equals x squared plus 1  fraction numerator d u over denominator d x end fraction equals 2 x rightwards double arrow d x equals fraction numerator d u over denominator 2 x end fraction  integral fraction numerator 2 x over denominator square root of u end fraction fraction numerator d u over denominator 2 x end fraction  integral u to the power of negative 1 half end exponent d u equals 2 u to the power of 1 half end exponent plus c  equals 2 square root of x squared plus 1 end root plus C

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