INTEGRAL sec^2 x dx = tg x + c Buktikan integral sec x dx = ln I tg x + sec x + c TOLONG YA....
Matematika
nurbayasimamor
Pertanyaan
INTEGRAL sec^2 x dx = tg x + c
Buktikan integral sec x dx = ln I tg x + sec x + c
TOLONG YA....
Buktikan integral sec x dx = ln I tg x + sec x + c
TOLONG YA....
1 Jawaban
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1. Jawaban whongaliem
∫ sec x dx = ∫ sec x [ (sec x + tan x) /(sec x + tan x)] dx
= ∫ (sec² x + sec x .tan x) / (sec x + tan x) dx
misal : u = sec x + tan x
du = (sec² x + sec x .tan x) dx
maka soal dapat ditulis menjadi ..
∫ sec x = du/u
= ln |u| + C .... subtitusi u
= ln | sec x + tan x | + c ...... terbukti ..