Pertanyaan

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

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

A. Khairunisa

Master Teacher

Mahasiswa/Alumni Universitas Negeri Semarang

Jawaban terverifikasi

Pembahasan

$integral subscript a superscript b a x to the power of n d x equals open square brackets fraction numerator a over denominator n plus 1 end fraction x to the power of n plus 1 end exponent close square brackets subscript a superscript b equals left parenthesis fraction numerator a over denominator n plus 1 end fraction b to the power of n plus 1 end exponent right parenthesis minus left parenthesis fraction numerator a over denominator n plus 1 end fraction a to the power of n plus 1 end exponent right parenthesis integral subscript negative 1 end subscript superscript 2 left parenthesis 3 x squared minus 2 x plus 1 right parenthesis d x equals left square bracket space x cubed minus x squared plus x right square bracket subscript blank to the power of negative 1 end exponent end subscript superscript 2 equals left parenthesis left parenthesis 2 right parenthesis cubed minus left parenthesis 2 right parenthesis squared plus left parenthesis 2 right parenthesis right parenthesis minus left parenthesis left parenthesis negative 1 right parenthesis cubed minus left parenthesis negative 1 right parenthesis squared plus left parenthesis negative 1 right parenthesis right parenthesis equals left parenthesis 6 right parenthesis minus left parenthesis negative 3 right parenthesis equals 9$