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Byju's Answer
Standard XII
Mathematics
Standard Formulae - 1
integral from...
Question
integral from 0 to infinity x/(1+x)(1+x^2) dx
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Similar questions
Q.
The value of the integral
∫
∞
0
x
dx
(
1
+
x
)
(
1
+
x
2
)
is equal to
Q.
The number of integral solutions to the system of equations
x
1
+
x
2
+
x
3
+
x
4
+
x
5
=
20
and
x
1
+
x
2
=
15
if
x
k
≥
0
are
:
Q.
How many integral solutions are there to the system of equations
x
1
+
x
2
+
x
3
+
x
4
+
x
5
=
20
and
x
1
+
x
2
=
15
when
x
k
≥
0
?
Q.
If x is positive, the sum to infinity of the series
1
1
+
x
-
1
-
x
(
1
+
x
)
2
+
(
1
-
x
)
2
(
1
+
x
)
3
-
(
1
-
x
)
3
(
1
+
x
)
4
+
.
.
.
.
.
.
is
(a) 1/2
(b) 3/4
(c) 1
(d) none of these
Q.
Let
x
1
and
x
2
be the roots of the equation
2
x
2
+
6
x
+
b
=
0.
If
x
1
x
2
+
x
2
x
1
=
k
and
b
<
0
,
then the minimum integral value of
|
k
|
is
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