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Pertanyaan

Pada interval c≤x ≤0, luas daerah di bawah kurva y = x 2 dan di atas garis y = -x sama dengan luas daerah di atas kurva dan di bawah garisy = -x. Nilai c =....

Pada interval c ≤ x ≤ 0, luas daerah di bawah kurva  dan di atas garis y = -x sama dengan luas daerah di atas kurva begin mathsize 14px style straight y equals straight x squared end style dan di bawah garis y = -x. Nilai c = .... 

  1. begin mathsize 14px style negative 3 over 2 end style

  2. begin mathsize 14px style negative 5 over 2 end style

  3. begin mathsize 14px style negative 6 1 third end style

  4. begin mathsize 14px style negative 6 2 over 3 end style

  5. begin mathsize 14px style negative 7 1 fourth end style

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A. Rizky

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

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Pembahasan

begin mathsize 14px style Perhatikan space gambar space factorial end style

Karena space luas space kedua space daerah space arsiran space sama comma space makaintegral subscript straight c superscript negative 1 end superscript open parentheses straight x squared minus open parentheses negative straight x close parentheses close parentheses dx equals integral subscript negative 1 end subscript superscript 0 open parentheses negative straight x minus straight x squared close parentheses dxintegral subscript straight c superscript negative 1 end superscript open parentheses straight x squared plus straight x close parentheses dx minus integral subscript negative 1 end subscript superscript 0 open parentheses negative straight x minus straight x squared close parentheses dx equals 0integral subscript straight c superscript negative 1 end superscript open parentheses straight x squared plus straight x close parentheses dx plus integral subscript negative 1 end subscript superscript 0 open parentheses straight x plus straight x squared close parentheses dx equals 0integral subscript straight c superscript negative 1 end superscript open parentheses straight x squared plus straight x close parentheses dx plus integral subscript negative 1 end subscript superscript 0 open parentheses straight x plus straight x squared close parentheses dx equals 0integral subscript straight c superscript 0 open parentheses straight x squared plus straight x close parentheses dx equals 0open 1 third straight x cubed plus 1 half straight x squared 0 over straight c close parentheses equals 0minus 1 third straight c cubed minus 1 half straight c squared equals 01 third straight c cubed plus 1 half straight c squared equals 0straight c squared open parentheses 1 third straight c plus 1 half close parentheses equals 0didapatstraight c equals 0 logical or 1 third straight c equals negative 1 half rightwards double arrow straight c equals negative 3 over 2 end style

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