Substitution Method Worksheet With Answers Page 5

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215
From this, we get:
dx
u
2
=
2
du
3
u
3
(2 +
x)
2
3
= 2
u
2u
du
1
2
= 2
u
+ u
+ C
1
1
= 2
+
+ C
2
2 +
x
(2 +
x)
2
x + 1
= 2
+ C
2
(2 +
x)
1 +
x
=
2
+ C
2
(2 +
x)

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