Pertanyaan

Hasil dari ∫ ( 2 x 3 − 1 ) + c 18 x 2 d x = ...

Hasil dari $\int \frac{18 x ^{2}}{( 2 x ^{3} - 1 ) + c} d x = ...$

Ikuti Tryout SNBT & Menangkan E-Wallet 100rb

Habis dalam

Klaim

N. Mustikowati

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

$U equals space 2 x space cubed space minus space 1 d u space equals space 6 x squared d x d x equals fraction numerator 1 over denominator 6 x squared end fraction d u integral 18 x squared space left parenthesis 2 x cubed minus space 1 right parenthesis to the power of 1 half end exponent d x equals integral 18 x squared. u to the power of 1 half end exponent. fraction numerator 1 over denominator 6 x squared end fraction d u equals integral 3 U to the power of 1 half end exponent d u equals 3.2 over 3 U to the power of 3 over 2 end exponent plus c equals 2 left parenthesis 2 x cubed minus 1 right parenthesis to the power of 3 over 2 end exponent plus c equals 2 left parenthesis 2 x cubed minus 1 right parenthesis square root of 2 x cubed minus 1 end root plus c$