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Byju's Answer
Standard XII
Mathematics
Sum of n Terms
The integral ...
Question
The integral
2
∫
0
|
|
x
−
1
|
−
x
|
d
x
is equal to
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Solution
2
∫
0
|
|
x
−
1
|
−
x
|
d
x
=
1
∫
0
|
1
−
x
−
x
|
d
x
+
∫
2
1
|
x
−
1
−
x
|
d
x
=
1
∫
0
|
2
x
−
1
|
d
x
+
∫
2
1
1
d
x
=
1
2
∫
0
(
1
−
2
x
)
d
x
+
∫
1
1
2
(
2
x
−
1
)
d
x
+
∫
2
1
1
d
x
=
[
(
1
2
−
0
)
−
(
1
4
−
0
)
]
+
(
1
−
1
4
)
−
(
1
−
1
2
)
+
1
=
1
2
−
1
4
+
3
4
−
1
2
+
1
=
3
2
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0
Similar questions
Q.
integrate
2
∫
0
(
|
x
|
+
|
x
−
1
|
)
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x
=
Q.
If
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Q.
∫
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