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Nilai dari adalah ...

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

  1. 3

  2. 5

  3. 7

  4. 9

  5. 17

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 left parenthesis fraction numerator a over denominator n plus 1 end fraction b to the power of n plus 1 end exponent right parenthesis minus left parenthesis fraction numerator a over denominator n plus 1 end fraction a to the power of n plus 1 end exponent right parenthesis    integral subscript negative 1 end subscript superscript 2 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 negative 1 end subscript squared    equals left parenthesis left parenthesis 2 right parenthesis cubed minus left parenthesis 2 right parenthesis squared plus left parenthesis 2 right parenthesis right parenthesis minus left parenthesis left parenthesis 1 minus 1 right parenthesis squared plus left parenthesis negative 1 right parenthesis right parenthesis  equals left parenthesis 6 right parenthesis minus left parenthesis negative 3 right parenthesis  equals 9

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