Pertanyaan

Nilai dari ∫ 1 2 ( 3 x 2 − 4 x + 5 ) d x = ....

Nilai dari $\int_{1}^{2} (3 x^{2} - 4 x + 5) d x$ = ....

R. Diah

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Pembahasan

$integral subscript a superscript b a x to the power of n d x equals open square brackets fraction numerator a over denominator n plus 1 end fraction x to the power of n plus 1 end exponent close square brackets subscript b superscript a equals open parentheses fraction numerator a over denominator n plus 1 end fraction b to the power of n plus 1 end exponent close parentheses minus open parentheses fraction numerator a over denominator n plus 1 end fraction a to the power of n plus 1 end exponent close parentheses integral subscript 1 superscript 2 left parenthesis 3 x squared minus 4 x plus 5 right parenthesis d x equals left square bracket x cubed minus 2 x squared plus 5 x right square bracket subscript 1 superscript 2 equals left parenthesis left parenthesis 2 right parenthesis cubed minus 2 left parenthesis 2 right parenthesis squared plus 5 left parenthesis 2 right parenthesis right parenthesis minus left parenthesis left parenthesis 1 right parenthesis cubed minus 2 left parenthesis 1 right parenthesis squared plus 5 left parenthesis 1 right parenthesis right parenthesis equals left parenthesis 10 right parenthesis minus left parenthesis 4 right parenthesis equals 6$