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Mathematics
Mathematics
Problem
∫
ln
(
tan
x
)
sin
x
cos
x
d
x
\int \frac{\ln(\tan x)}{\sin x\cos x}\,dx
∫
s
i
n
x
c
o
s
x
l
n
(
t
a
n
x
)
d
x
is equal to (a)
1
2
ln
(
tan
x
)
+
c
\frac{1}{2}\ln(\tan x) + c
2
1
ln
(
tan
x
)
+
c
(b)
1
2
ln
(
tan
2
x
)
+
c
\frac{1}{2}\ln(\tan^2 x) + c
2
1
ln
(
tan
2
x
)
+
c
(c)
1
2
(
ln
(
tan
x
)
)
2
+
c
\frac{1}{2}(\ln(\tan x))^2 + c
2
1
(
ln
(
tan
x
)
)
2
+
c
(d) none of these (a)
1
2
ln
(
tan
x
)
+
c
\frac{1}{2}\ln(\tan x) + c
2
1
ln
(
tan
x
)
+
c
(b)
1
2
ln
(
tan
2
x
)
+
c
\frac{1}{2}\ln(\tan^2 x) + c
2
1
ln
(
tan
2
x
)
+
c
(c)
1
2
(
ln
(
tan
x
)
)
2
+
c
\frac{1}{2}(\ln(\tan x))^2 + c
2
1
(
ln
(
tan
x
)
)
2
+
c
(d) none of these
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