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