1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Integration by Substitution
∫√1+x √1+x+1 ...
Question
∫
√
1
+
x
√
1
+
(
x
+
1
)
√
1
+
(
x
+
2
)
(
x
+
4
)
d
x
is equal to
A
x
2
2
+
x
+
c
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
x
2
2
−
x
+
c
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
x
2
2
+
c
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
x
+
c
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is
C
x
2
2
+
x
+
c
∫
√
1
+
x
√
1
+
(
x
+
1
)
√
1
+
(
x
+
2
)
(
x
+
4
)
d
x
=
∫
√
1
+
x
√
1
+
(
x
+
1
)
√
1
+
x
2
+
6
x
+
8
d
x
=
∫
√
1
+
x
√
1
+
(
x
+
1
)
√
x
2
+
6
x
+
9
d
x
=
∫
√
1
+
x
√
1
+
(
x
+
1
)
√
(
x
+
3
)
2
d
x
=
∫
√
1
+
x
√
1
+
(
x
+
1
)
(
x
+
3
)
d
x
=
∫
√
1
+
x
√
1
+
x
2
+
4
x
+
3
d
x
=
∫
√
1
+
x
√
x
2
+
4
x
+
4
d
x
=
∫
√
1
+
x
√
(
x
+
2
)
2
d
x
=
∫
√
1
+
x
(
x
+
2
)
d
x
=
∫
√
1
+
x
2
+
2
x
d
x
=
∫
√
(
x
+
1
)
2
d
x
=
∫
(
x
+
1
)
d
x
=
∫
x
d
x
+
∫
1
d
x
=
x
2
2
+
x
+
c
Ans is
O
p
t
:
[
A
]
Suggest Corrections
0
Similar questions
Q.
If
I
=
∫
d
x
1
+
√
x
2
+
2
x
+
2
=
A
7
log
∣
∣
x
+
1
+
√
x
2
+
2
x
+
2
∣
∣
−
√
x
2
+
2
x
+
2
−
1
x
+
1
+
C
then A is equal to
Q.
∫
d
x
x
1
2
(
1
+
x
2
)
5
/
4
is equal to
Q.
∫
sin
(
tan
−
1
√
x
)
d
x
(
x
≥
0
)
is
Q.
∫
√
x
+
1
x
d
x
is equal to