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Hasil dari ∫ ​ x 2 + 1 ​ 2 x ​ d x = ...

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  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

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Master Teacher

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Pembahasan

integral subscript space superscript space fraction numerator 2 x over denominator square root of x squared plus 1 end root end fraction space d x space equals integral subscript space superscript space fraction numerator 1 over denominator square root of x squared plus 1 end root end fraction space d left parenthesis x squared plus 1 right parenthesis space space space left square bracket h a l space i n i space d i k a r e n a k a n space d left parenthesis x squared plus 1 right parenthesis equals 2 x space d x right square bracket  equals integral subscript space superscript space open parentheses x squared plus 1 close parentheses to the power of negative 1 half end exponent space space d left parenthesis x squared plus 1 right parenthesis space  equals fraction numerator 1 over denominator negative 1 half plus 1 end fraction open parentheses x squared plus 1 close parentheses to the power of negative 1 half plus 1 end exponent plus C  equals 2 open parentheses x squared plus 1 close parentheses 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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