Integral(tan x-sec x)2 dx
Matematika
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Pertanyaan
Integral(tan x-sec x)2 dx
1 Jawaban
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1. Jawaban Anonyme
Integral Fungsi Trigonometri.
∫ (tan x - sec x)² dx
= ∫ (tan² x - 2 tan x sec x + sec² x) dx
= ∫ [(sec² x - 1) - 2 tan x sec x + sec² x] dx
= tan x - x - 2 sec x + tan x + C
= 2 (tan x - sec x) - x + C