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Hasil dari ∫ 3 x + 4 ​ 3 x 2 ​ d x adalah...

Hasil dari  adalah...

  1. begin mathsize 14px style 2 x squared left parenthesis 3 x plus 4 right parenthesis to the power of 1 half end exponent minus 8 over 9 left parenthesis 3 x plus 4 right parenthesis to the power of 3 over 2 end exponent plus 16 over 135 left parenthesis 3 x plus 4 right parenthesis to the power of 5 over 2 end exponent plus C end style

  2. begin mathsize 14px style 2 x squared left parenthesis 3 x plus 4 right parenthesis to the power of 1 half end exponent minus 8 over 9 left parenthesis 3 x plus 4 right parenthesis to the power of 3 over 2 end exponent plus left parenthesis 3 x plus 4 right parenthesis to the power of 5 over 2 end exponent plus C end style

  3. begin mathsize 14px style 2 x squared left parenthesis 3 x plus 4 right parenthesis to the power of 1 half end exponent plus 8 over 9 left parenthesis 3 x plus 4 right parenthesis to the power of 3 over 2 end exponent plus 16 over 135 left parenthesis 3 x plus 4 right parenthesis to the power of 5 over 2 end exponent plus C end style

  4. begin mathsize 14px style x squared left parenthesis 3 x plus 4 right parenthesis to the power of 1 half end exponent minus 8 over 9 left parenthesis 3 x plus 4 right parenthesis to the power of 3 over 2 end exponent plus 16 over 135 left parenthesis 3 x plus 4 right parenthesis to the power of 5 over 2 end exponent plus C end style

  5. begin mathsize 14px style negative x squared left parenthesis 3 x plus 4 right parenthesis to the power of 1 half end exponent minus 8 over 9 left parenthesis 3 x plus 4 right parenthesis to the power of 3 over 2 end exponent minus 16 over 135 left parenthesis 3 x plus 4 right parenthesis to the power of 5 over 2 end exponent plus C end style

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Pembahasan

Bentuk pada soal dapat ditulis Dengan menggunakan tabel integral parsial

Bentuk pada soal dapat ditulis integral 3 x squared left parenthesis 3 x plus 4 right parenthesis to the power of negative 1 half end exponent space d x to the power of blank

Dengan menggunakan tabel integral parsial

integral fraction numerator 3 x squared over denominator square root of 3 x plus 4 end root end fraction d x

begin mathsize 12px style equals open parentheses 3 x squared close parentheses open parentheses 2 over 3 left parenthesis 3 x plus 4 right parenthesis to the power of 1 half end exponent close parentheses minus open parentheses 6 x close parentheses open parentheses 4 over 27 left parenthesis 3 x plus 4 right parenthesis to the power of 3 over 2 end exponent close parentheses plus open parentheses 6 close parentheses open parentheses 8 over 405 left parenthesis 3 x plus 4 right parenthesis to the power of 5 over 2 end exponent close parentheses end style

begin mathsize 14px style equals 2 x squared left parenthesis 3 x plus 4 right parenthesis to the power of 1 half end exponent minus 8 over 9 left parenthesis 3 x plus 4 right parenthesis to the power of 3 over 2 end exponent plus 16 over 135 left parenthesis 3 x plus 4 right parenthesis to the power of 5 over 2 end exponent plus C end style

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