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Contoh 22
1) [pic]
= [pic]
= [pic]
= y + C
= tan [pic]
Atau
Cos x = cos2x – sin2x
2 cos2x = cos 2x+1
[pic]
Misal u = [pic]
Atau dx = 2du
[pic]
= tan [pic]
Contoh 22
Soal no 1 bandingkan dengan
[pic]
= [pic]
= [pic]
= [pic]
= tan(x) - [pic]
= tan x + [pic]
= [pic]
= [pic]
2) [pic]
= [pic]
= -[pic]
= -[pic]
a = 1
2b = -2 → b = -1 p = [pic]
C = -1 = [pic]
= [pic]
= [pic]
[pic] arc tan [pic]
[pic]
[pic]
Sin x = [pic]
Y = tan[pic]
4). [pic]
[pic]
[pic]
en + C
en [pic]
cara lain
[pic]
Misal u = [pic]
[pic]
= [pic]
= [pic]
Misal u = tan u
dw = [pic]
= [pic]
= en[pic]
= en [pic]
= en [pic]
tan [pic]= [pic]
= [pic]
= [pic]
= [pic]
= cos x – cot x
= [pic]
= [pic]
= [pic]
= [pic]
[pic]
Cosx = 2[pic]
Cn x = 1-2[pic]
Sin x = 2 sin[pic]
[pic]
[pic]
[pic]
[pic]
= [pic]
d(tanx) = [pic]
d[pic]
[pic]
[pic]
Misal = y = sinx
dy = cnx dx
[pic]
[pic]
[pic]
= [pic]
[pic]
[pic]
Misal u = 1+y v = 1-y
du = dy du = 1- dy
[pic]
[pic]+C
[pic]
[pic]
[pic]
[pic]
= [pic]
Y = cos x
Dy = -sinx dx
Sin2x = 1-cn2x
= 1-y2
Lihat sec
[pic]
[pic]
-----------------------
1+[pic]
2y
x
................
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