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integral x space fifth root of open parentheses x plus 1 close parentheses squared space end root d x equals horizontal ellipsis

  1. 5 over 12 open parentheses x plus 1 close parentheses to the power of 12 over 5 end exponent plus C

  2. 5 over 12 open parentheses x plus 1 close parentheses to the power of 12 over 5 end exponent minus 5 over 7 open parentheses x plus 1 close parentheses to the power of 7 over 5 end exponent plus C

  3. 5 over 7 open parentheses x plus 1 close parentheses to the power of 12 over 5 end exponent minus 5 over 7 open parentheses x plus 1 close parentheses to the power of 7 over 5 end exponent plus C

  4. 7 over 12 open parentheses x plus 1 close parentheses to the power of 12 over 5 end exponent minus 5 over 7 open parentheses x plus 1 close parentheses to the power of 7 over 5 end exponent plus C

  5. 5 over 12 open parentheses x plus 1 close parentheses to the power of 12 over 5 end exponent plus 5 over 7 open parentheses x plus 1 close parentheses to the power of 7 over 5 end exponent plus C

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Y. Laksmi

Master Teacher

Mahasiswa/Alumni Universitas Negeri Semarang

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Pembahasan

Gunakan integral subtitusi :

Gunakan integral subtitusi :

u equals x plus 1 left right double arrow x equals u minus 1  fraction numerator d u over denominator d x end fraction equals 1 rightwards double arrow d u equals d x  integral x space fifth root of open parentheses x plus 1 close parentheses squared space end root d x equals integral open parentheses u minus 1 close parentheses u to the power of 2 over 5 end exponent d u  equals u. u to the power of 2 over 5 end exponent minus u to the power of 2 over 5 end exponent equals u to the power of 7 over 5 end exponent minus u to the power of 2 over 5 end exponent  equals 5 over 12 u to the power of 12 over 5 end exponent minus 5 over 7 u to the power of 7 over 5 end exponent plus C  equals 5 over 12 open parentheses x plus 1 close parentheses to the power of 12 over 5 end exponent minus 5 over 7 open parentheses x plus 1 close parentheses to the power of 7 over 5 end exponent plus C

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