Evaluate the integral:
∫
d
x
[
100
−
(
5
x
)
2
]
3
/
2
\displaystyle \int\frac{{\left.{d}{x}\right.}}{{\left[{100}-{\left({5}{x}\right)}^{{2}}\right]}^{{{3}/{2}}}}
∫
[
100
−
(
5
x
)
2
]
3
/
2
d
x
+ C
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