1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Integration Using Substitution
The value of ...
Question
The value of
∫
π
/
2
−
π
/
2
(
p
s
i
n
3
x
+
q
s
i
n
4
x
+
r
s
i
n
5
x
)
does not depend on
A
p, q, r
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
p, r only
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
p only
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
q, r only
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is
B
p, r only
b
∫
a
f
(
x
)
d
x
=
b
∫
a
f
(
a
+
b
−
x
)
Suggest Corrections
0
Similar questions
Q.
Factorise:
(
p
2
+
q
2
−
r
2
)
2
−
4
p
2
q
2
Q.
Assertion :In series
L
−
C
−
R
A
C
circuit, current and voltage are in same phase at resonance. Reason: In series
L
−
C
−
R
A
C
circuit, resonant frequency does not depend on the value of resistance. Hence current, at resonance, does not depend on resistance.
Q.
If
f
:
R
→
R
and
g
:
R
→
R
are continuous sunction, then the value of
∫
π
/
2
−
π
/
2
[
(
f
(
x
)
+
f
(
−
x
)
)
(
g
(
x
)
−
g
(
−
x
)
)
]
d
x
is
Q.
If largest subset of
(
0
,
π
)
at each point of which the function
f
(
x
)
=
3
cos
4
x
+
10
cos
3
x
+
6
cos
2
x
−
3
is decreasing is
(
0
,
π
p
)
∪
(
2
π
r
,
π
)
, then find the value of
(
p
+
r
)
Q.
If largets subset of
(
0
,
π
)
at each point of which the function
f
(
x
)
=
3
cos
4
x
+
10
cos
3
x
+
6
cos
2
x
−
3
is decreasing is
(
0
,
π
p
)
∪
(
2
π
r
,
π
)
, then find the value of
(
p
+
r
)
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
MATHEMATICS
Watch in App
Explore more
Integration Using 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