integral 24 cos^2 3x dx
Matematika
rizkyrismawati1
Pertanyaan
integral 24 cos^2 3x dx
1 Jawaban
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1. Jawaban supaat69
ubah terlebih dahulu cos^2(3x) = 1/2 + 1/2 cos(2*3x) = 1/2 + 1/2 cos(6x)
sehingga, diperoleh
\int[24 cos^2(3x)]dx = \int[24 (1/2 + 1/2 cos(6x))]dx = \int[12 + 12 cos(6x)]dx = 12x + 12/6 sin(6x) + C = 12x + 2 sin(6x) + C