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NDA Math Indefinite Integrals
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© examsnet.com
Question : 25
Total: 38
What is
∫
d
x
x
(
x
7
+
1
)
equal to ?
[NDA I 2017]
1
2
ln
|
x
7
−
1
x
7
+
1
|
=
c
1
7
ln
|
x
7
+
1
x
7
|
+
c
ln
|
x
7
−
1
7
x
|
+
c
1
7
ln
|
x
7
x
7
+
1
|
+
c
Validate
Solution:
∫
1
x
(
x
7
+
1
)
d
x
=
1
7
∫
7
x
6
x
7
(
x
7
+
1
)
d
x
putting
x
7
=
t
=
1
7
∫
7
x
6
t
(
t
+
1
)
d
t
=
1
7
∫
(
1
t
−
1
t
+
1
)
d
t
=
1
7
[
logt
−
log
(
t
+
1
)
]
+
c
=
1
7
log
(
t
t
+
1
)
+
c
=
1
7
log
(
x
7
x
7
+
1
)
+
c
© examsnet.com
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