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Tardigrade
Question
Mathematics
The value of the integral ∫ limits0(π/2) 60 ( sin (6 x)/ sin x) d x is equal to
Q. The value of the integral
0
∫
2
π
60
s
i
n
x
s
i
n
(
6
x
)
d
x
is equal to
881
1
JEE Main
JEE Main 2022
Integrals
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Answer:
104
Solution:
I
=
60
0
∫
π
/2
(
s
i
n
x
s
i
n
6
x
−
s
i
n
4
x
+
s
i
n
x
s
i
n
4
x
−
s
i
n
2
x
+
s
i
n
x
s
i
n
2
x
)
d
x
I
=
60
0
∫
π
/2
(
2
cos
5
x
+
2
cos
3
x
+
2
cos
x
)
d
x
I
=
60
(
5
2
sin
5
x
+
3
2
sin
3
x
+
2
sin
x
)
∣
∣
0
π
/2
=
104