Pertanyaan

Hasil dari ∫ ( 3 x + 2 ) ( 3 x 2 + 4 x − 1 ) 2 d x ...

Hasil dari $\int (3 x + 2) (3 x^{2} + 4 x - 1)^{2} d x ...$

R. Diah

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style integral open parentheses 3 x plus 2 close parentheses open parentheses 3 x squared plus 4 x minus 1 close parentheses squared d x misalkan colon space u equals 3 x squared plus 4 x minus 1 fraction numerator d u over denominator d x end fraction equals 6 x plus 4 1 half fraction numerator d u over denominator d x end fraction equals 3 x plus 2 1 half straight d u equals 3 x plus 2 space straight d x integral open parentheses 3 x plus 2 close parentheses open parentheses 3 x squared plus 4 x minus 1 close parentheses squared d x equals integral 1 half space u squared space straight d u equals 1 half times fraction numerator 1 over denominator 2 plus 1 end fraction u cubed plus straight C equals 1 over 6 u cubed plus straight C equals 1 over 6 left parenthesis 3 x squared plus 4 x minus 1 right parenthesis cubed plus straight C space space end style$