Evaluate the integral
∫
x
5
(
x
6
−
8
)
42
d
x
,
\displaystyle \int{x}^{{5}}{\left({x}^{{6}}-{8}\right)}^{{{42}}}{\left.{d}{x}\right.},
∫
x
5
(
x
6
−
8
)
42
d
x
,
by making the substitution
u
=
x
6
−
8
\displaystyle {u}={x}^{{6}}-{8}
u
=
x
6
−
8
.
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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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