integral (sin^2x-cos^2x)dx
Matematika
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Pertanyaan
integral (sin^2x-cos^2x)dx
1 Jawaban
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1. Jawaban Anonyme
Integral Fungsi Trigonometri.
cos² x - sin² x = cos 2x
-sin² x + cos² x = cos 2x → sin² x - cos² x = -cos 2x
∫ (sin² x - cos² x) dx
= ∫ (-cos 2x) dx
= -1/2 sin 2x + C
= -1/2 (2 sin x cos x) + C
= -cos x sin x + C