Pertanyaan

∫ 4 tan 3 2 x sec 3 2 x d x = …

$\int 4 tan \frac{2}{3} x sec \frac{2}{3} x d x = \dots$

Ikuti Tryout SNBT & Menangkan E-Wallet 100rb

Habis dalam

Klaim

N. Ayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Padang

Jawaban terverifikasi

Pembahasan

Gunakan integral subtitusi : Jadi,

Gunakan integral subtitusi :

$u equals sec 2 over 3 x fraction numerator d u over denominator d x end fraction equals 2 over 3. sec 2 over 3 x tan 2 over 3 x d x equals fraction numerator d u over denominator 2 over 3. sec 2 over 3 x tan 2 over 3 x end fraction$

Jadi,

$integral 4 tan 2 over 3 x sec 2 over 3 x d x equals integral open parentheses 4 tan 2 over 3 x sec 2 over 3 x close parentheses fraction numerator d u over denominator 2 over 3. sec 2 over 3 x tan 2 over 3 x end fraction equals integral 4.3 over 2 d u equals integral 6 d u equals 6 u plus C equals 6 sec 2 over 3 x plus C$