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Mathematics
Mathematics
Problem
∫
sec
x
log
(
sec
x
+
tan
x
)
d
x
=
\int \sec x\,\log(\sec x + \tan x)\,dx =
∫
sec
x
lo
g
(
sec
x
+
tan
x
)
d
x
=
A)
[
log
(
sec
x
+
tan
x
)
]
2
+
c
[\log(\sec x + \tan x)]^2 + c
[
lo
g
(
sec
x
+
tan
x
)
]
2
+
c
B)
1
2
[
log
(
sec
x
+
tan
x
)
]
2
+
c
\frac{1}{2}[\log(\sec x + \tan x)]^2 + c
2
1
[
lo
g
(
sec
x
+
tan
x
)
]
2
+
c
C)
sec
2
x
+
tan
x
sec
x
+
c
\sec^2 x + \tan x\sec x + c
sec
2
x
+
tan
x
sec
x
+
c
D) None of these A)
[
log
(
sec
x
+
tan
x
)
]
2
+
c
[\log(\sec x + \tan x)]^2 + c
[
lo
g
(
sec
x
+
tan
x
)
]
2
+
c
B)
1
2
[
log
(
sec
x
+
tan
x
)
]
2
+
c
\frac{1}{2}[\log(\sec x + \tan x)]^2 + c
2
1
[
lo
g
(
sec
x
+
tan
x
)
]
2
+
c
C)
sec
2
x
+
tan
x
sec
x
+
c
\sec^2 x + \tan x\sec x + c
sec
2
x
+
tan
x
sec
x
+
c
D) None of these
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