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Byju's Answer
Standard XII
Mathematics
Inequalities of Integrals
∫0π/2log tan ...
Question
∫
π
2
0
l
o
g
t
a
n
x
d
x
=
[MP PET 1999; RPET 2001, 02; Karnataka CET 1999, 2000, 01, 02]
A
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B
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C
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D
0
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Solution
The correct option is
D
0
∫
π
2
0
l
o
g
t
a
n
x
d
x
=
∫
π
2
0
l
o
g
(
s
i
n
x
c
o
s
x
)
d
x
=
∫
π
2
0
l
o
g
s
i
n
x
d
x
−
∫
π
2
0
l
o
g
c
o
s
x
d
x
=
0
,
{
∵
∫
a
0
f
(
x
)
d
x
=
∫
a
0
f
(
a
−
x
)
d
x
}