papula.integreren.substitutie tabel
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Papula.integreren.substitutie TabelTRANSCRIPT
INTEGRATIE MET SUBSTITUTIE type integraal substitutie oplossing voorbeelden
A. dxbxaf u = a x + b
adxdu
adu
dx
1. dx3x2 3
2. dx5x4
3. dxe 2x3
1. u = 2 x – 3 2. u = 4 x + 5 3. u = 3 x + 2
B. dxx'f.xf u = f (x)
x'fdxdu
f'(x).dx = du
½ f2 (x) + C 1. dxxcos.xsin
2. dxxxln
1. u = sin x 2. u = ln x
C. dxxfx'f
u = f (x)
x'fdxdu
f'(x).dx = du
ln |f (x)| + C 1.
dx1x3x
3x22
2. dx
5ee
x
x
3. dxxcosxsin
1. u = x2 – 3 x + 1 2. u = ex + 5 3. u = cos x
D. dxxa,xf 22 x = a.Sin u
ucos.adudx
dx = a.cos u.du let op : √(a2 – x2) =a.cosu
1. dxxr 22
2. dxxr.x 22
3. 2x4
dx
1. x = r.sin u 2. x = r.sin u 3. x = 2.sin u