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Byju's Answer
Standard XII
Mathematics
Integration by Substitution
∫ xdx is inte...
Question
∫
x
d
x
is integral of x wrt x $
A
I
=
x
2
3
+
C
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B
I
=
x
3
2
+
C
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C
I
=
x
2
+
C
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D
I
=
x
2
2
+
C
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Solution
The correct option is
D
I
=
x
2
2
+
C
Given,
I
=
∫
x
d
x
Formula used:
∫
x
n
d
x
=
x
n
+
1
n
+
1
+
C
Apply the formula, we get
I
=
x
1
+
1
1
+
1
+
C
I
=
x
2
2
+
C
Hence, this is the answer.
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Similar questions
Q.
If
I
is the greatest of the definite integrals
I
1
=
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1
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−
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o
s
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Q.
Consider the line integral
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If
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If
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△
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∣
∣ ∣
∣
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a
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b
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∣ ∣
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