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Mathematics
Problem
The value of
∫
sec
x
(
2
+
sec
x
)
(
1
+
2
sec
x
)
2
d
x
\int \frac{\sec x (2 + \sec x)}{(1 + 2 \sec x)^2} dx
∫
(
1
+
2
s
e
c
x
)
2
s
e
c
x
(
2
+
s
e
c
x
)
d
x
, is equal to a.
sin
x
2
+
cos
x
+
C
\frac{\sin x}{2 + \cos x} + C
2
+
c
o
s
x
s
i
n
x
+
C
b.
cos
x
2
+
cos
x
+
C
\frac{\cos x}{2 + \cos x} + C
2
+
c
o
s
x
c
o
s
x
+
C
c.
−
sin
x
2
+
sin
x
+
C
\frac{-\sin x}{2 + \sin x} + C
2
+
s
i
n
x
−
s
i
n
x
+
C
d.
cos
x
2
+
sin
x
+
C
\frac{\cos x}{2 + \sin x} + C
2
+
s
i
n
x
c
o
s
x
+
C
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