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Mathematics
Mathematics
Problem
∫
cosec
x
log
tan
x
2
d
x
=
\int \frac{\operatorname{cosec} x}{\log \tan \frac{x}{2}}\,dx =
∫
l
o
g
t
a
n
2
x
cosec
x
d
x
=
(a)
log
(
log
tan
x
2
)
+
c
\log\left(\log \tan \frac{x}{2}\right) + c
lo
g
(
lo
g
tan
2
x
)
+
c
(b)
2
log
(
log
tan
x
2
)
+
c
2\log\left(\log \tan \frac{x}{2}\right) + c
2
lo
g
(
lo
g
tan
2
x
)
+
c
(c)
1
2
log
(
log
tan
x
2
)
+
c
\frac{1}{2}\log\left(\log \tan \frac{x}{2}\right) + c
2
1
lo
g
(
lo
g
tan
2
x
)
+
c
(d) None of these (a)
log
(
log
tan
x
2
)
+
c
\log\left(\log \tan \frac{x}{2}\right) + c
lo
g
(
lo
g
tan
2
x
)
+
c
(b)
2
log
(
log
tan
x
2
)
+
c
2\log\left(\log \tan \frac{x}{2}\right) + c
2
lo
g
(
lo
g
tan
2
x
)
+
c
(c)
1
2
log
(
log
tan
x
2
)
+
c
\frac{1}{2}\log\left(\log \tan \frac{x}{2}\right) + c
2
1
lo
g
(
lo
g
tan
2
x
)
+
c
(d) None of these
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