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Math 101 Chapter 5: Integration
5.24 Proof of integration by substitution theorem
5.26 Integration after simplifying
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5.25 Examples of integration by substitution
5.25.1 Example
To find the integrals
(
i
)
∫
0
3
x
(
9
-
x
2
)
3
d
x
,
(
i
i
)
∫
x
3
d
x
x
4
+
2
.
(i)\quad\int_{0}^{3}x(9-x^{2})^{3}dx,\quad(ii)\quad\int{{x^{3}dx}\over{x^{4}+2% }}.
Solution.