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Mathematics
Mathematics
Problem
Prove that
π
6
≤
∫
0
1
d
x
4
−
x
2
−
x
3
≤
π
4
2
\frac{\pi}{6} \le \int_{0}^{1} \frac{dx}{\sqrt{4-x^2}-x^3} \le \frac{\pi}{4\sqrt{2}}
6
π
≤
∫
0
1
4
−
x
2
−
x
3
d
x
≤
4
2
π
.
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