hasil dari integral cos 2x ✓sin 2x dx =
Matematika
cantikarania
Pertanyaan
hasil dari integral cos 2x ✓sin 2x dx =
1 Jawaban
-
1. Jawaban Anonyme
dsin 2x = 2 cos 2x dx
cos 2x dx = 1/2 dsin 2x
∫ cos 2x √(sin 2x) dx
= ∫ (sin 2x)^(1/2) . (1/2) dsin 2x
= (1/2) . (1/(1/2 + 1)) . (sin 2x)^(1/2 + 1) + C
= (1/2)(2/3)(sin 2x)^(3/2) + C
= (1/3)(sin 2x)(√sin 2x) + C