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Mathematics
Problem
Evaluate
I
=
∫
(
x
−
1
)
x
4
+
2
x
3
−
x
2
+
2
x
+
1
x
2
(
x
+
1
)
d
x
.
I = \int \frac{(x-1)\sqrt{x^4+2x^3-x^2+2x+1}}{x^2(x+1)} dx.
I
=
∫
x
2
(
x
+
1
)
(
x
−
1
)
x
4
+
2
x
3
−
x
2
+
2
x
+
1
d
x
.
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