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Nilai dari

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

  1. 2

  2. 6

  3. 9

  4. 15

  5. 27

Jawaban:

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 a to the power of b equals 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 2 superscript 3 left parenthesis 3 x squared minus 2 x plus 1 right parenthesis d x equals open square brackets x cubed minus x squared plus x close square brackets subscript 2 cubed  equals left parenthesis left parenthesis 3 right parenthesis cubed minus left parenthesis 3 right parenthesis squared plus left parenthesis 3 right parenthesis right parenthesis minus left parenthesis left parenthesis 2 right parenthesis cubed minus left parenthesis 2 right parenthesis squared plus left parenthesis 2 right parenthesis right parenthesis  equals left parenthesis 21 right parenthesis minus left parenthesis 6 right parenthesis  equals 15

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