Integral minus phi sampai phi cos^2 x
Matematika
maryam3581
Pertanyaan
Integral minus phi sampai phi cos^2 x
1 Jawaban
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1. Jawaban Anonyme
jawab
integral
(-pi ..pi)∫ cos² x dx
= (-pi...pi) ∫ 1/2 (cos 2x + 1) dx
= [1/4 sin 2x + 1/2 x ](pi...-pi)
= 1/4 ( sin 2pi - sin (-2pi)) + 1/2 (pi - (-pi))
= 1/4 (sin 2pi + sin 2pi) + 1/2 (2 pi)
= 1/4 (0) + pi
= pi
= 3,14