Pertanyaan

∫ sin 3 x d x = …

$\int sin^{3} x d x = \dots$

Y. Laksmi

Master Teacher

Mahasiswa/Alumni Universitas Negeri Semarang

Jawaban terverifikasi

Pembahasan

Ingat rumus identitas trigonometri : Jadi,

Ingat rumus identitas trigonometri :

sin cubed x equals sin squared x. sin x equals open parentheses 1 minus cos squared x close parentheses sin x equals sin x minus cos squared x. sin x

Jadi,

$integral sin cubed x d x equals integral open parentheses sin x minus cos squared x. sin x close parentheses d x equals integral sin x d x minus integral cos squared x. sin x d x equals negative cos x minus integral cos squared x space. sin x space fraction numerator d open parentheses cos x close parentheses over denominator negative sin x end fraction equals negative cos x plus integral cos squared x d open parentheses cos x close parentheses equals negative cos x plus 1 third cos cubed x plus C$