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AP EAMCET Engineering 18 Sep 2020 Shift 2 Paper
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© examsnet.com
Question : 5
Total: 160
If
l
n
=
π
2
∫
0
s
i
n
n
(
x
)
d
x
and
l
n
=
(
k
)
l
n
−
2
then what will be the value of
k
?
n
n
−
1
n
−
1
n
n
+
1
n
n
n
+
1
Validate
Solution:
I
n
=
π
/
2
∫
0
sin
x
⋅
sin
n
−
1
x
d
x
=
sin
n
−
1
x
(
−
cos
x
)
]
0
π
/
2
+
π
/
2
∫
0
(
n
−
1
)
⋅
sin
n
−
2
x
cos
2
x
d
x
=
0
+
(
n
−
1
)
π
/
2
∫
0
sin
n
−
2
x
(
1
−
sin
2
x
)
d
x
I
n
=
(
n
−
1
)
π
/
2
∫
0
sin
n
−
2
x
d
x
−
(
n
−
1
)
π
/
2
∫
0
sin
x
n
d
x
n
I
n
=
(
n
−
1
)
⋅
I
n
−
2
I
n
=
n
−
1
n
.
I
n
−
2
© examsnet.com
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