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Pertanyaan

∫ x ​ − 2 x 2 − 16 ​ d x = …

  1. x open parentheses 2 over 5 x square root of x plus x plus 8 over 3 square root of x plus 8 close parentheses plus C

  2. x open parentheses 2 over 5 x square root of x minus x minus 8 over 3 square root of x plus 8 close parentheses plus C

  3. 2 x open parentheses 1 fifth x square root of x minus 4 over 3 square root of x plus 4 close parentheses plus C

  4. 2 x open parentheses 2 over 5 x square root of x plus x plus 8 over 3 square root of x plus 4 close parentheses plus C

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

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N. Ayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Padang

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Pembahasan

integral fraction numerator x squared minus 16 over denominator square root of x minus 2 end fraction d x  equals integral fraction numerator open parentheses x minus 4 close parentheses open parentheses x plus 4 close parentheses over denominator square root of x minus 2 end fraction d x  equals integral fraction numerator open parentheses square root of x plus 2 close parentheses open parentheses square root of x minus 2 close parentheses open parentheses x plus 4 close parentheses over denominator square root of x minus 2 end fraction d x  equals integral open parentheses square root of x plus 2 close parentheses open parentheses x plus 4 close parentheses d x  equals integral open parentheses x square root of x plus 4 square root of x plus 2 x plus 8 close parentheses d x  equals integral open parentheses x to the power of 3 over 2 end exponent plus 4 x to the power of 1 half end exponent plus 2 x plus 8 close parentheses d x  equals 2 over 5 x to the power of 5 over 2 end exponent plus 4.2 over 3 x to the power of 3 over 2 end exponent plus 2 over 2 x squared plus 8 x plus C  equals 2 over 5 x squared. x to the power of 1 half end exponent plus 8 over 3 x. x to the power of 1 half end exponent plus x squared plus 8 x plus C  equals 2 over 5 x squared. x to the power of 1 half end exponent plus 8 over 3 x. x to the power of 1 half end exponent plus x squared plus 8 x plus C  equals 2 over 5 x to the power of 5 over 2 end exponent plus 4.2 over 3 x to the power of 3 over 2 end exponent plus 2 over 2 x squared plus 8 x plus C  equals 2 over 5 x squared. x to the power of 1 half end exponent plus 8 over 3 x. x to the power of 1 half end exponent plus x squared plus 8 x plus C  equals x open parentheses 2 over 5 x. x to the power of 1 half end exponent plus 8 over 3 x to the power of 1 half end exponent plus x plus 8 close parentheses plus C  equals x open parentheses 2 over 5 x square root of x plus 8 over 3 square root of x plus x plus 8 close parentheses plus C

Latihan Bab

Pengenalan Integral

Integral Tak Tentu

Integral Substitusi

Aplikasi Integral Tak Tentu

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