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Byju's Answer
Standard XII
Mathematics
Improper Integrals
∫x Tan - 1x 1...
Question
∫
x
Tan
−
1
x
(
1
+
x
2
)
3
/
2
d
x
=
A
x
+
Tan
−
1
x
(
1
+
x
2
)
3
/
2
+
c
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B
x
−
Tan
−
1
x
√
1
+
x
2
+
c
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C
x
√
1
+
x
2
−
Tan
−
1
x
+
c
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D
x
1
+
x
2
+
Tan
−
1
x
+
c
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Solution
The correct option is
B
x
−
Tan
−
1
x
√
1
+
x
2
+
c
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0
Similar questions
Q.
equals
A.
x
tan
−1
(
x
+ 1) + C
B. tan
− 1
(
x
+ 1) + C
C. (
x
+ 1) tan
−1
x
+ C
D. tan
−1
x
+ C