Tardigrade
Tardigrade - CET NEET JEE Exam App
Exams
Login
Signup
Tardigrade
Question
Mathematics
The integral ∫ limits(π/4)(π/12) (8 cos 2x/( tan x + cot x)3) dx equals :
Q. The integral
12
π
∫
4
π
(
t
a
n
x
+
c
o
t
x
)
3
8
c
o
s
2
x
d
x
equals :
3204
197
JEE Main
JEE Main 2017
Integrals
Report Error
A
128
15
61%
B
64
15
21%
C
32
13
8%
D
256
13
10%
Solution:
12
π
∫
4
π
(
s
in
2
x
1
)
3
cos
2
x
=
12
π
∫
4
π
cos
2
x
×
s
in
2
x
.
s
i
n
2
(
2
x
)
d
x
=
4
1
∫
s
in
4
x
.
(
1
−
cos
4
x
)
d
x
=
4
1
12
π
∫
4
π
sin 4x -
12
π
∫
4
π
sin 8x