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JEEMAIN-2014
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Q)
The integral
∫
s
i
n
2
x
c
o
s
2
x
(
s
i
n
3
x
+
c
o
s
3
x
)
2
d
x
is equal to :
(
a
)
1
(
1
+
c
o
t
3
x
)
+
c
(
b
)
−
1
3
(
1
+
t
a
n
3
x
)
+
c
(
c
)
s
i
n
3
x
(
1
+
c
o
s
3
x
)
+
c
(
d
)
−
c
o
s
3
x
3
(
1
+
s
i
n
3
x
)
+
c
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