B - Arnout Devos
B - Arnout Devos
B - Arnout Devos
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xdx<br />
1 x<br />
2<br />
ln<br />
y<br />
cos 3<br />
<br />
y<br />
dy<br />
xsin<br />
1<br />
2<br />
1<br />
ln<br />
2<br />
<br />
<br />
dt<br />
t<br />
xdx<br />
t C<br />
tdt<br />
2 3/<br />
2<br />
t <br />
3<br />
<br />
C<br />
Integralen<br />
1 2<br />
ln( 1<br />
x ) C<br />
2<br />
<br />
t dt<br />
3<br />
<br />
2<br />
3<br />
4<br />
t<br />
C<br />
4<br />
<br />
(ln<br />
<br />
3<br />
y) C<br />
1<br />
4<br />
cos<br />
4<br />
x C<br />
Substitutie:<br />
Substitutie:<br />
Substitutie:<br />
2 1<br />
x t<br />
<br />
2xdx<br />
dt<br />
ln<br />
y t<br />
<br />
dy<br />
dt<br />
y<br />
cos<br />
x t<br />
<br />
<br />
sin xdx dt