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Hasil dari ∫2x2−6x+5​2x−3​dx=....

Pertanyaan

Hasil dari integral fraction numerator 2 x minus 3 over denominator square root of 2 x squared minus 6 x plus 5 end root end fraction d x equals....

  1. 1 half square root of 2 x squared minus 6 x plus 5 end root plus C

  2. square root of 2 x squared minus 6 x plus 5 end root plus C

  3. 2 over 3 square root of 2 x squared minus 6 x plus 5 end root plus C

  4. 2 square root of 2 x squared minus 6 x plus 5 end root plus C

  5. fraction numerator 1 over denominator square root of 2 x squared minus 6 x plus 5 end root end fraction plus C

F. Pratama

Master Teacher

Mahasiswa/Alumni Universitas Putra Indonesia YPTK Padang

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Pembahasan

u equals 2 x squared minus 6 x plus 5  d u equals 4 x minus 6 space d x  1 half d u equals 2 x minus 3 space d x    integral fraction numerator 2 x minus 3 over denominator square root of 2 x squared minus 6 x plus 5 end root end fraction d x  equals integral fraction numerator 1 over denominator square root of u end fraction open parentheses 1 half d u close parentheses  equals 1 half integral u to the power of negative 1 half end exponent d u  equals 1 half fraction numerator u to the power of begin display style 1 half end style end exponent over denominator 1 half end fraction plus C  equals square root of u plus C  equals square root of x squared minus 4 x plus 5 end root plus C

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