1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Integration by Substitution
The inegral ∫...
Question
The inegral
∫
3
x
13
+
2
x
11
(
2
x
4
+
3
x
2
+
1
)
4
d
x
is equal to :
(where
C
is a constant of integration)
A
x
4
6
(
2
x
4
+
3
x
2
+
1
)
3
+
C
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
x
12
6
(
2
x
4
+
3
x
2
+
1
)
3
+
C
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
x
4
(
2
x
4
+
3
x
2
+
1
)
3
+
C
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
x
12
(
2
x
4
+
3
x
2
+
1
)
3
+
C
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is
B
x
12
6
(
2
x
4
+
3
x
2
+
1
)
3
+
C
I
=
∫
3
x
13
+
2
x
11
(
2
x
4
+
3
x
2
+
1
)
4
d
x
=
∫
3
x
13
+
2
x
11
x
16
(
2
+
3
x
2
+
1
x
4
)
4
d
x
=
∫
(
3
x
3
+
2
x
5
)
(
2
+
3
x
2
+
1
x
4
)
4
d
x
Let
2
+
3
x
2
+
1
x
4
=
t
⇒
−
(
6
x
3
+
4
x
5
)
d
x
=
d
t
⇒
(
3
x
3
+
2
x
5
)
d
x
=
−
1
2
d
t
∴
I
=
−
1
2
∫
1
t
4
d
t
=
1
6
t
3
+
C
=
x
12
6
(
2
x
4
+
3
x
2
+
1
)
3
+
C
Suggest Corrections
0
Similar questions
Q.
The inegral
∫
3
x
13
+
2
x
11
(
2
x
4
+
3
x
2
+
1
)
4
d
x
is equal to :
(where
C
is a constant of integration)
Q.
The integral
∫
3
x
13
+
2
x
11
(
2
x
4
+
3
x
2
+
1
)
4
d
x
is equal to: (where C is a constant of integration)
Q.
The inegral
∫
3
x
13
+
2
x
11
(
2
x
4
+
3
x
2
+
1
)
4
d
x
is equal to :
(where
C
is a constant of integration)
Q.
The value of
∫
3
x
13
+
2
x
11
(
2
x
4
+
3
x
2
+
1
)
4
d
x
is equal to
(where
C
is constant of integration )
Q.
If
∫
8
x
43
+
13.
x
38
(
x
13
+
x
5
+
1
)
4
d
x
=
1
3
.
x
a
(
x
b
+
x
c
+
1
)
3
+
C
where
a
,
b
,
c
ϵ
N
,
(
a
>
b
>
c
and where C is a constant of integration), then
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Integration by Substitution
MATHEMATICS
Watch in App
Explore more
Integration by Substitution
Standard XII Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app