[LaTeX] \int sin^2 2x cos2x dx=...
Matematika
herlinalina99
Pertanyaan
[LaTeX] \int sin^2 2x cos2x dx=...
1 Jawaban
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1. Jawaban ahreumlim
misalkan
u = sin2x
du = 2 cos2x dx
du/2 = cos2x dx
mka bentuk
∫ sin²2x . cos2x dx
mnjadi
(1/2) ∫ u² du
= (1/2)(u³/3) + C
= (1/6)u³ + C
= (1/6) sin³2x + C