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Hasil dari integral subscript space superscript space 2 x open parentheses 4 x squared plus 3 close parentheses to the power of 3 over 2 end exponent space d x space equals...

  1. 3 over 10 open parentheses 4 x squared plus 3 close parentheses squared square root of 4 x squared plus 3 end root plus straight C

  2. 2 over 10 open parentheses 4 x squared plus 3 close parentheses squared square root of 4 x squared plus 3 end root plus straight C

  3. 1 over 10 open parentheses 4 x squared plus 3 close parentheses squared square root of 4 x squared plus 3 end root plus straight C

  4. 1 fourth open parentheses 4 x squared plus 3 close parentheses squared square root of 4 x squared plus 3 end root plus straight C

  5. 2 over 3 open parentheses 4 x squared plus 3 close parentheses squared square root of 4 x squared plus 3 end root plus straight C

Pembahasan:

integral subscript space superscript space 2 x open parentheses 4 x squared plus 3 close parentheses to the power of 3 over 2 end exponent space d x space equals integral subscript space superscript space open parentheses 4 x squared plus 3 close parentheses to the power of 3 over 2 end exponent fraction numerator 8 x over denominator 4 end fraction space d x space  space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals integral subscript space superscript space open parentheses 4 x squared plus 3 close parentheses to the power of 3 over 2 end exponent 1 fourth d left parenthesis 4 x squared plus 3 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 open parentheses 4 x squared plus 3 close parentheses equals 8 x space d x right square bracket  space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 1 fourth integral subscript space superscript space open parentheses 4 x squared plus 3 close parentheses to the power of 3 over 2 end exponent d left parenthesis 4 x squared plus 3 right parenthesis space  space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 1 fourth open parentheses fraction numerator 1 over denominator 3 over 2 plus 1 end fraction space open parentheses 4 x squared plus 3 close parentheses to the power of 3 over 2 plus 1 end exponent close parentheses plus straight C  space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 1 fourth open parentheses 2 over 5 straight space open parentheses 4 straight x squared plus 3 close parentheses to the power of 5 over 2 end exponent close parentheses plus straight C  space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 1 over 10 open parentheses 4 straight x squared plus 3 close parentheses to the power of 2 plus 1 half end exponent plus straight C  space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 1 over 10 open parentheses 4 straight x squared plus 3 close parentheses squared square root of 4 straight x squared plus 3 end root plus straight C

Jawaban terverifikasi

Dijawab oleh:

M. Mariyam

Mahasiswa/Alumni Institut Pertanian Bogor

Terakhir diupdate 15 Desember 2020

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