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Byju's Answer
Standard XII
Mathematics
Second Fundamental Theorem of Calculus
∫_0^π/2cos^2 ...
Question
∫
π
2
0
c
o
s
2
x
d
x
=
A
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B
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C
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D
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Solution
The correct option is
C
Using gamma function,
∫
π
2
0
c
o
s
2
x
d
x
=
r
(
3
2
)
r
(
1
2
)
2
r
(
2
)
=
1
2
r
(
1
2
)
r
(
1
2
)
2.1.
r
(
1
)
=
π
4