Pertanyaan

Hasil dari

Hasil dari $begin mathsize 14px style integral open parentheses fraction numerator sin invisible function application x over denominator cos squared invisible function application x end fraction close parentheses d x equals... end style$

N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

Ingat kembali persamaan trigonometri berikut ini. Sehingga,

Ingat kembali persamaan trigonometri berikut ini.

$begin mathsize 14px style fraction numerator sin invisible function application x over denominator cos invisible function application x end fraction equals tan invisible function application x fraction numerator 1 over denominator cos invisible function application x end fraction equals sec invisible function application x end style$

Sehingga,

$begin mathsize 14px style integral open parentheses fraction numerator sin invisible function application x over denominator cos squared invisible function application x end fraction close parentheses d x equals integral open parentheses fraction numerator sin invisible function application x over denominator cos invisible function application x end fraction times fraction numerator 1 over denominator cos invisible function application x end fraction close parentheses d x space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals integral tan invisible function application x sec invisible function application x d x space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals sec invisible function application x plus C end style$