2
You visited us
2
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Definition of Limit
∫0π/2cos4x/co...
Question
∫
π
/
2
0
cos
4
x
cos
4
x
+
sin
4
x
d
x
=
?
A
π
4
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
π
2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
π
8
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
π
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is
A
π
4
Let
I
=
∫
π
/
2
0
cos
4
x
cos
4
x
+
sin
4
x
d
x
.......(1)
Now using
∫
b
a
f
(
x
)
d
x
=
∫
b
a
f
(
a
+
b
−
x
)
d
x
I
=
∫
π
/
2
0
sin
4
x
sin
4
x
+
cos
4
x
d
x
......(2)
Now add (1) and (2)
2
I
=
∫
π
/
2
0
1
d
x
=
π
2
∴
I
=
π
4
Suggest Corrections
0
Similar questions
Q.
The values of
′
a
′
and
′
b
′
so that the function
f
(
x
)
=
⎧
⎪ ⎪ ⎪ ⎪ ⎪ ⎪
⎨
⎪ ⎪ ⎪ ⎪ ⎪ ⎪
⎩
x
+
a
√
2
sin
x
,
0
≤
x
<
π
4
2
x
cot
x
+
b
,
π
4
≤
x
≤
π
2
a
cos
2
x
−
b
sin
x
,
π
2
<
x
≤
π
is continuous at
x
=
π
4
,
π
2
are
Q.
Solve:
π
/
4
∫
0
sin
x
cos
x
cos
4
x
+
sin
4
x
d
x
Q.
Evaluate:
∫
π
/
2
0
x
sin
x
cos
x
cos
4
x
+
sin
4
x
d
x
.
Q.
Solve
∫
π
/
2
0
x
s
i
n
x
c
o
s
x
c
o
s
4
x
+
s
i
n
4
x
d
x
Q.
A rod of mass
π
kg and length
1
m rests on a smooth horizontal ground and is hinged at one of its end. At the other end, a horizontal force
F
, of magnitude
3
N, is applied whose magnitude is constant and the direction is always perpendicular to the rod. When the rod rotates by
π
2
rad angle, power supplied by this force at that instant is :
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
Ozone Layer
MATHEMATICS
Watch in App
Explore more
KCET Engineering
Definition of Limit
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
Solve
Textbooks
Question Papers
Install app