Evaluate the integral
∫
(
2
x
+
4
)
(
x
2
+
4
x
+
2
)
4
d
x
\displaystyle \int{\left({2}{x}+{4}\right)}{\left({x}^{{2}}+{4}{x}+{2}\right)}^{{{4}}}{\left.{d}{x}\right.}
∫
(
2
x
+
4
)
(
x
2
+
4
x
+
2
)
4
d
x
by making the substitution
u
=
x
2
+
4
x
+
2
\displaystyle {u}={x}^{{2}}+{4}{x}+{2}
u
=
x
2
+
4
x
+
2
.
Preview
Question 6
+ C
NOTE: Your answer should be in terms of
x
\displaystyle {x}
x
and not
u
\displaystyle {u}
u
.
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