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VITEEE 2011 Paper
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Section:
Mathematics
Share question:
© examsnet.com
Question : 93
Total: 120
Evaluate
3
Ï€
∕
4
∫
Ï€
∕
4
1
1
+
c
o
s
x
dx
2
- 2
1/2
- 1/2
Validate
Solution:
3
Ï€
∕
4
∫
Ï€
∕
4
1
1
+
c
o
s
x
dx
=
3
Ï€
∕
4
∫
Ï€
∕
4
1
−
c
o
s
x
s
i
n
2
x
dx
=
3
Ï€
∕
4
∫
Ï€
∕
4
(
c
o
s
e
c
2
x - cot x cosec x) dx
=
[
−
c
o
t
x
+
c
o
s
e
c
x
]
Ï€
4
3
Ï€
4
= (1 +
√
2
) - (- 1 +
√
2
) = 2
© examsnet.com
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