Pertanyaan

Hasil dari ∫ 2 3 3 x 2 + 6 x + 4 d x = ...

Hasil dari $\int_{2}^{3} 3 x^{2} + 6 x + 4 d x = ...$

S. Yoga

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

Jawaban terverifikasi

Jawaban

hasil dari .

hasil dari integral subscript 2 superscript 3 3 x squared plus 6 x plus 4 straight d x equals 38

Pembahasan

Mencari hasil integral: Jadi, hasil dari .

Mencari hasil integral:

$integral subscript 2 superscript 3 3 x squared plus 6 x plus 4 straight d x equals integral subscript 2 superscript 3 3 x squared straight d x plus integral subscript 2 superscript 3 6 x straight d x plus integral subscript 2 superscript 3 4 straight d x equals 3 times integral subscript 2 superscript 3 x squared straight d x plus 6 times integral subscript 2 superscript 3 x straight d x plus integral subscript 2 superscript 3 4 straight d x equals 3 open square brackets fraction numerator x to the power of 2 plus 1 end exponent over denominator 2 plus 1 end fraction close square brackets subscript 2 superscript 3 plus 6 open square brackets fraction numerator x to the power of 1 plus 1 end exponent over denominator 1 plus 1 end fraction close square brackets subscript 2 superscript 3 plus open square brackets 4 x close square brackets subscript 2 superscript 3 equals 3 open square brackets x cubed over 3 close square brackets subscript 2 superscript 3 plus 6 open square brackets x squared over 2 close square brackets subscript 2 superscript 3 plus open square brackets 4 x close square brackets subscript 2 superscript 3 equals 3 times 19 over 3 plus 6 times 5 over 2 plus 4 equals 19 plus 15 plus 4 equals 38$

Jadi, hasil dari integral subscript 2 superscript 3 3 x squared plus 6 x plus 4 straight d x equals 38 .