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Mathematics
Mathematics
Problem
The value of
2
∫
sin
x
d
x
sin
(
x
−
π
4
)
\sqrt{2} \int \frac{\sin x dx}{\sin \left( x - \frac{\pi}{4} \right)}
2
∫
s
i
n
(
x
−
4
π
)
s
i
n
x
d
x
is a.
x
+
log
∣
cos
(
x
−
π
4
)
∣
+
C
x + \log \left| \cos \left( x - \frac{\pi}{4} \right) \right| + C
x
+
lo
g
cos
(
x
−
4
π
)
+
C
b.
x
+
log
∣
sin
(
x
−
π
4
)
∣
+
C
x + \log \left| \sin \left( x - \frac{\pi}{4} \right) \right| + C
x
+
lo
g
sin
(
x
−
4
π
)
+
C
c.
x
−
log
∣
sin
(
x
−
π
4
)
∣
+
C
x - \log \left| \sin \left( x - \frac{\pi}{4} \right) \right| + C
x
−
lo
g
sin
(
x
−
4
π
)
+
C
d.
x
−
log
∣
cos
(
x
−
π
4
)
∣
+
C
x - \log \left| \cos \left( x - \frac{\pi}{4} \right) \right| + C
x
−
lo
g
cos
(
x
−
4
π
)
+
C
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