integrate x-1/x^2-1
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Step-by-step explanation:
The integral is
I
=
∫
(
1
+
x
)
d
x
1
+
x
2
=
∫
d
x
1
+
x
2
+
∫
x
d
x
1
+
x
2
The first integral
∫
d
x
1
+
x
2
=
arctan
x
And the second integral is
∫
x
d
x
1
+
x
2
=
1
2
∫
2
x
d
x
1
+
x
2
=
1
2
ln
(
1
+
x
2
)
And finally
I
=
arctan
x
+
1
2
ln
(
1
+
x
2
)
+
C
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