integral tak tentu cos 6x . sin 3x dx
Matematika
Fatimahindayani
Pertanyaan
integral tak tentu cos 6x . sin 3x dx
1 Jawaban
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1. Jawaban ShanedizzySukardi
Materi integral
int (cos 6x sin 3x) dx
= 1/2 int (2 sin 3x cos 6x) dx
= 1/2 int (sin 9x - sin 3x) dx
= 1/2 (1/9 (-cos 9x) + 1/3 cos 3x) + C
= -1/18 cos 9x + 1/6 cos 3x + C