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Nilai dari ∫12​(3x2−4x+5)dx= ....

Pertanyaan

Nilai dari integral subscript 1 superscript 2 left parenthesis 3 x squared minus 4 x plus 5 right parenthesis d x= ....

  1. 6

  2. 5

  3. 4

  4. 3

  5. 2

R. Diah

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Pembahasan

integral subscript a superscript b a x to the power of n d x equals open square brackets fraction numerator a over denominator n plus 1 end fraction x to the power of n plus 1 end exponent close square brackets subscript b superscript a equals open parentheses fraction numerator a over denominator n plus 1 end fraction b to the power of n plus 1 end exponent close parentheses minus open parentheses fraction numerator a over denominator n plus 1 end fraction a to the power of n plus 1 end exponent close parentheses  integral subscript 1 superscript 2 left parenthesis 3 x squared minus 4 x plus 5 right parenthesis d x equals left square bracket x cubed minus 2 x squared plus 5 x right square bracket subscript 1 superscript 2  equals left parenthesis left parenthesis 2 right parenthesis cubed minus 2 left parenthesis 2 right parenthesis squared plus 5 left parenthesis 2 right parenthesis right parenthesis minus left parenthesis left parenthesis 1 right parenthesis cubed minus 2 left parenthesis 1 right parenthesis squared plus 5 left parenthesis 1 right parenthesis right parenthesis  equals left parenthesis 10 right parenthesis minus left parenthesis 4 right parenthesis  equals 6

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