Pertanyaan

Nilai dari ∫ 1 2 2 x 2 + 3 x − 3 dx adalah...

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

I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

$integral subscript 1 superscript 2 2 straight x squared plus 3 straight x minus 3 space dx equals fraction numerator 2 straight x to the power of 2 plus 1 end exponent over denominator 2 plus 1 end fraction plus fraction numerator 3 straight x to the power of 2 plus 1 end exponent over denominator 1 plus 1 end fraction minus 3 straight x left enclose blank subscript 1 superscript 2 end enclose equals fraction numerator 2 straight x cubed over denominator 3 end fraction plus fraction numerator 3 straight x squared over denominator 2 end fraction minus 3 straight x left enclose blank subscript 1 superscript 2 end enclose equals 2 over 3 open parentheses 2 cubed minus 1 cubed close parentheses plus 3 over 2 open parentheses 2 squared minus 1 squared close parentheses minus 3 open parentheses 2 minus 1 close parentheses equals 2 over 3 times 7 plus 3 over 2 times 3 minus 3 times 1 equals 14 over 3 plus 9 over 2 minus 3 equals 37 over 6 equals 6 1 over 6$