Pertanyaan

Hasil dari ∫ ( cos 3 2 x sin 2 x ) d x = ...

Hasil dari $\int (cos^{3} 2 x sin 2 x) d x$ = ...

Y. Laksmi

Master Teacher

Mahasiswa/Alumni Universitas Negeri Semarang

Jawaban terverifikasi

Pembahasan

Misalkan u = cos 2x du = - 2sin2xdx

Misalkan u = cos 2x

du = - 2sin2xdx

$begin mathsize 12px style negative 1 half d u equals sin 2 x d x integral open parentheses cos cubed 2 x sin 2 x close parentheses d x equals integral negative 1 half u cubed d u equals negative 1 half open square brackets fraction numerator 1 over denominator 3 plus 1 end fraction u to the power of 3 plus 1 end exponent close square brackets plus C equals negative 1 half open square brackets 1 fourth u to the power of 4 close square brackets plus C equals negative 1 over 8 u to the power of 4 plus C equals negative 1 over 8 cos to the power of 4 2 x plus C end style$