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Luas daerah yang diarsir pada gambar dapat dinyatakan dengan rumus ....

  1. begin mathsize 14px style integral from 0 to 4 of 4 x space d x minus integral from 2 to 4 of left parenthesis 2 x minus 4 right parenthesis space d x end style

  2. begin mathsize 14px style integral from 0 to 4 of 4 x space d x minus integral from 2 to 4 of left parenthesis 2 x plus 4 right parenthesis space d x end style

  3. begin mathsize 14px style integral from 0 to 4 of 2 square root of x space d x minus integral from 2 to 4 of left parenthesis 2 x minus 4 right parenthesis space d x end style

  4. begin mathsize 14px style integral from 0 to 4 of 2 square root of x space d x minus integral from 2 to 4 of left parenthesis 4 minus 2 x right parenthesis space d x end style

  5. begin mathsize 14px style integral from 0 to 4 of 2 square root of x space d x minus integral from 2 to 4 of left parenthesis 4 plus 2 x right parenthesis space d x end style

S. Intan

Master Teacher

Mahasiswa/Alumni Institut Pertanian Bogor

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Pembahasan

begin mathsize 14px style Luas space daerah colon  straight L equals straight L subscript merah plus straight L subscript biru  straight L equals integral from 0 to 2 of straight y subscript 1 straight space dx plus integral from 2 to 4 of left parenthesis straight y subscript 1 minus straight y subscript 2 right parenthesis dx  straight L equals integral from 0 to 2 of 2 square root of straight x straight space dx plus integral from 2 to 4 of open parentheses 2 square root of straight x close parentheses minus left parenthesis 2 straight x minus 4 right parenthesis dx  straight L equals integral from 0 to 2 of 2 square root of straight x straight space dx plus integral from 2 to 4 of open parentheses 2 square root of straight x close parentheses straight space dx minus integral from 2 to 4 of left parenthesis 2 straight x minus 4 right parenthesis dx  straight L equals integral from 0 to 4 of 2 square root of straight x straight space dx minus integral from 2 to 4 of left parenthesis 2 straight x minus 4 right parenthesis straight space dx end style

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Gambarlah dan hitunglah luas daerah-daerah tertutup yang dibatasi oleh kurva-kurva berikut : e. y=2x2−8x dan y=x2−3x−4

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