Pertanyaan

ha s i l d a r i ∫ ( 3 x − 2 ) 3 x 2 4 x d x = ....

$ha s i l d a r i \int (3 x - 2) 3 x^{2} 4 x d x = ....$

N. Mustikowati

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

$M i s a l k a n space colon U space equals space 3 x squared space – space 4 x space space space fraction numerator d U over denominator d x end fraction space equals space 6 x space minus 4 space space space fraction numerator d U over denominator d x end fraction space equals space 2 space left parenthesis 3 x minus 2 right parenthesis space fraction numerator d U over denominator 2 end fraction space equals space left parenthesis 3 x space minus 2 right parenthesis space. space d x integral left parenthesis 3 x minus 2 right parenthesis square root of left parenthesis 3 x squared minus 4 x right parenthesis end root d x equals integral square root of left parenthesis 3 x squared minus 4 x right parenthesis end root left parenthesis 3 x minus 2 right parenthesis d x equals integral U to the power of 1 half end exponent. fraction numerator d U over denominator 2 end fraction equals 1 half.2 over 3. U to the power of 3 over 2 end exponent plus C equals 1 third left parenthesis 3 x squared minus 4 x right parenthesis square root of left parenthesis 3 x squared minus 4 x right parenthesis end root plus C$