Pertanyaan

∫ cos 5 x d x = …

$\int cos^{5} x d x = \dots$

F. Kurnia

Master Teacher

Mahasiswa/Alumni Universitas Jember

Jawaban terverifikasi

Pembahasan

Ingat

$equals open parentheses 1 minus sin squared invisible function application x close parentheses squared. cos invisible function application x equals open parentheses 1 minus 2 sin squared invisible function application x plus sin to the power of 4 invisible function application x close parentheses. cos invisible function application x equals cos invisible function application x minus 2 sin squared invisible function application x cos invisible function application x plus sin to the power of 4 invisible function application x. cos invisible function application x integral cos to the power of 5 invisible function application x d x equals integral cos invisible function application x d x minus 2 integral sin squared invisible function application x cos invisible function application x d x plus integral sin to the power of 4 invisible function application x. cos invisible function application x d x equals sin invisible function application x minus 2 integral sin squared invisible function application x cos invisible function application x fraction numerator d open parentheses sin invisible function application x close parentheses over denominator cos invisible function application x end fraction plus integral sin to the power of 4 invisible function application x. cos invisible function application x fraction numerator d open parentheses sin invisible function application x close parentheses over denominator cos invisible function application x end fraction equals sin invisible function application x minus 2 integral sin squared invisible function application x d open parentheses sin invisible function application x close parentheses plus integral sin to the power of 4 invisible function application x d open parentheses sin invisible function application x close parentheses equals sin invisible function application x minus 2 over 3 sin cubed invisible function application x plus 1 fifth sin to the power of 5 invisible function application x plus C$