Pertanyaan

Nilai dari ∫ 2 3 ( 6 x 2 − 2 x + 7 ) d x = ....

$Nilai dari \int_{2}^{3} (6 x^{2} - 2 x + 7) d x = ....$

Y. Laksmi

Master Teacher

Mahasiswa/Alumni Universitas Negeri Semarang

Jawaban terverifikasi

Pembahasan

$integral subscript 2 superscript 3 left parenthesis 6 x squared minus 2 x plus 7 right parenthesis d x equals right enclose fraction numerator 6 over denominator 2 plus 1 end fraction x to the power of 2 plus 1 end exponent minus fraction numerator 2 over denominator 1 plus 1 end fraction x to the power of 1 plus 1 end exponent plus 7 x end enclose subscript 2 superscript 3 equals right enclose 2 x cubed minus x squared plus 7 x space end enclose subscript 2 superscript 3 equals open square brackets 2 left parenthesis 3 right parenthesis cubed minus left parenthesis 3 right parenthesis squared plus 7 left parenthesis 3 right parenthesis close square brackets minus open square brackets 2 left parenthesis 2 right parenthesis cubed minus left parenthesis 2 right parenthesis squared plus 7 left parenthesis 2 right parenthesis close square brackets equals left parenthesis 54 minus 9 plus 21 right parenthesis minus left parenthesis 16 minus 4 plus 14 right parenthesis equals 66 minus 26 equals 40$