Pertanyaan

Nilai dari ∫ 2 3 ( 3 x 2 − 2 x + 1 ) d x adalah ....

Nilai dari $\int_{2}^{3} (3 x^{2} - 2 x + 1) d x$ adalah ....

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$integral subscript a superscript b a x to the power of n d x equals open square brackets fraction numerator a over denominator n plus 1 end fraction x to the power of n plus 1 end exponent close square brackets subscript a superscript b equals open parentheses fraction numerator a over denominator n plus 1 end fraction b to the power of n plus 1 end exponent close parentheses minus open parentheses fraction numerator a over denominator n plus 1 end fraction a to the power of n plus 1 end exponent close parentheses integral subscript 2 superscript 3 left parenthesis 3 x squared minus 2 x plus 1 right parenthesis d x equals open square brackets x cubed minus x squared plus x close square brackets subscript 2 superscript 3 equals left parenthesis 3 cubed minus 3 squared plus 3 right parenthesis minus left parenthesis 2 cubed minus 2 squared plus 2 right parenthesis equals left parenthesis 21 right parenthesis minus left parenthesis 6 right parenthesis equals 15$