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Pertanyaan

Diketahui f ( x ) = 4 x 3 − 5 x d an g ( x ) = 2 x 2 − 2 Nilai dari ∫ 0 4 ​ [ f ( x ) − g ( x ) ] d x adalah...

Diketahui

Nilai dari adalah...

  1. 180 1 third

  2. 180 2 over 3

  3. 181

  4. 181 1 third

  5. 181 2 over 3

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I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

f left parenthesis x right parenthesis space equals space 4 x cubed minus 5 x space d a n space g left parenthesis x right parenthesis equals space 2 x squared minus x integral subscript 0 superscript 4 open square brackets f left parenthesis x right parenthesis minus g left parenthesis x right parenthesis close square brackets d x space equals integral subscript 0 superscript 4 open square brackets 4 x cubed minus 5 x minus 2 x squared plus x close square brackets d x space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals integral subscript 0 superscript 4 open square brackets 4 x cubed minus 2 x squared minus 4 x close square brackets d x space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space x to the power of 4 minus 2 over 3 x cubed minus 2 x squared left enclose blank with 0 below and 4 on top end enclose space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space open parentheses 4 to the power of 4 minus 2 over 3 left parenthesis 4 right parenthesis cubed minus 2 left parenthesis 4 right parenthesis squared close parentheses minus space left parenthesis 0 right parenthesis space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 256 minus 128 over 3 minus 32 space equals 544 over 3 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 181 1 third

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