Pertanyaan

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

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

A. Acfreelance

Master Teacher

Jawaban terverifikasi

Pembahasan

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