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KVPY 2020-21 SB SX Exam Previous Papers
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© examsnet.com
Question : 3
Total: 120
The value of the integral
π
∕
2
∫
−
π
∕
2
sin
2
x
1
+
e
x
d
x
is
π
6
π
4
π
2
π
2
2
Validate
Solution:
I
=
π
∕
2
∫
0
(
sin
2
x
1
+
e
x
+
sin
2
x
1
+
e
−
x
)
d
x
=
π
∕
2
∫
0
sin
2
x
d
x
=
1
2
×
π
2
=
π
4
© examsnet.com
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