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Byju's Answer
Standard XII
Mathematics
Integration as Antiderivative
If dydx=4x3...
Question
If
d
y
d
x
=
4
x
3
+
3
x
2
+
2
x
, then
y
=
A
x
4
+
x
3
+
x
2
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B
x
4
+
x
3
+
x
2
+
C
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C
4
x
4
+
3
x
3
+
2
x
2
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D
None of these
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Solution
The correct option is
B
x
4
+
x
3
+
x
2
+
C
d
y
d
x
=
4
x
3
+
3
x
2
+
2
x
d
y
=
(
4
x
3
+
3
x
2
+
2
x
)
d
x
∫
d
y
=
∫
(
4
x
3
+
3
x
2
+
2
x
)
d
x
y
=
4
∫
x
3
d
x
+
3
∫
x
2
d
x
+
2
∫
x
d
x
y
=
4
x
4
4
+
3
x
3
3
+
2
x
2
2
+
C
y
=
x
4
+
x
3
+
x
2
+
C
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1
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Question 1
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is