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NDA Math Indefinite Integrals
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© examsnet.com
Question : 14
Total: 38
What is the value of
k
such that integration of
3
x
2
+
8
−
4
k
x
with respect to
x
,
may be a rational function?
[NDA-I 2020]
0
1
2
-2
Validate
Solution:
👈: Video Solution
I
=
∫
(
3
x
2
+
8
−
4
k
x
)
.
d
x
=
∫
3
x
d
x
+
∫
8
−
4
k
x
.
d
x
=
3
2
x
2
+
(
8
−
4
k
)
.
ln
(
x
)
+
C
(where
C
=
constant)
To get integration as rational function,
(
8
−
4
k
)
.
ln
(
x
)
=
0
⇒
8
−
4
k
=
0
⇒
k
=
8
4
=
2
© examsnet.com
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