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Byju's Answer
Standard XII
Mathematics
Integration as Antiderivative
Which of the ...
Question
Which of the following is the indefinite integral of
2
x
1
2
?
A
4
3
x
3
2
+
C
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B
2
3
x
3
2
+
C
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C
2
3
x
4
3
+
C
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D
None of these
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Solution
The correct option is
B
4
3
x
3
2
+
C
∫
2
x
1
/
2
d
x
=
2
∫
x
1
/
2
d
x
=
2
⋅
x
1
2
+
1
1
2
+
1
+
C
=
4
3
x
3
2
+
C
Note:
∫
x
n
d
x
=
x
n
+
1
n
+
1
+
C
,
n
≠
−
1
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0
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Q.
The anti derivative of
equals
(A)
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