berapa integral cot²x integral (sin x - cos x)(sin x + cos x) tolong bantu
Matematika
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Pertanyaan
berapa integral cot²x
integral (sin x - cos x)(sin x + cos x) tolong bantu
integral (sin x - cos x)(sin x + cos x) tolong bantu
1 Jawaban
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1. Jawaban Anonyme
Integral of Trigonometry Functions.
∫ cot² x dx
= ∫ (csc² x - 1) dx
= - cot x - x + C
= -1 / tan x - x + C
∫ (sin x - cos x)(sin x + cos x) dx
= ∫ (sin² x - cos² x) dx
= ∫ (-cos 2x) dx
= -1/2 sin 2x + C
= -cos x sin x + C