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Mathematics
Mathematics
Problem
∫
d
x
sin
x
+
cos
x
=
\int \frac{dx}{\sin x + \cos x} =
∫
s
i
n
x
+
c
o
s
x
d
x
=
(a)
log
tan
(
π
8
+
x
2
)
+
c
\log\tan\left(\frac{\pi}{8} + \frac{x}{2}\right) + c
lo
g
tan
(
8
π
+
2
x
)
+
c
(b)
log
tan
(
π
8
−
x
2
)
+
c
\log\tan\left(\frac{\pi}{8} - \frac{x}{2}\right) + c
lo
g
tan
(
8
π
−
2
x
)
+
c
(c)
1
2
log
tan
(
π
8
+
x
2
)
+
c
\frac{1}{\sqrt{2}}\log\tan\left(\frac{\pi}{8} + \frac{x}{2}\right) + c
2
1
lo
g
tan
(
8
π
+
2
x
)
+
c
(d) None of these (a)
log
tan
(
π
8
+
x
2
)
+
c
\log\tan\left(\frac{\pi}{8} + \frac{x}{2}\right) + c
lo
g
tan
(
8
π
+
2
x
)
+
c
(b)
log
tan
(
π
8
−
x
2
)
+
c
\log\tan\left(\frac{\pi}{8} - \frac{x}{2}\right) + c
lo
g
tan
(
8
π
−
2
x
)
+
c
(c)
1
2
log
tan
(
π
8
+
x
2
)
+
c
\frac{1}{\sqrt{2}}\log\tan\left(\frac{\pi}{8} + \frac{x}{2}\right) + c
2
1
lo
g
tan
(
8
π
+
2
x
)
+
c
(d) None of these
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