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Mathematics
Mathematics
Problem
Calculate
∫
cos
(
5
x
)
sin
2
(
5
x
)
d
x
\displaystyle\int \frac{\cos(5x)}{\sin^{2}(5x)}\,dx
∫
sin
2
(
5
x
)
cos
(
5
x
)
d
x
. a)
1
5
ln
∣
sin
(
5
x
)
∣
+
C
\dfrac{1}{5}\ln|\sin(5x)|+C
5
1
ln
∣
sin
(
5
x
)
∣
+
C
b)
−
1
sin
(
5
x
)
+
C
-\dfrac{1}{\sin(5x)}+C
−
sin
(
5
x
)
1
+
C
c)
−
1
5
sin
(
5
x
)
+
C
-\dfrac{1}{5\sin(5x)}+C
−
5
sin
(
5
x
)
1
+
C
d)
1
5
sin
−
2
(
5
x
)
+
C
\dfrac{1}{5}\sin^{-2}(5x)+C
5
1
sin
−
2
(
5
x
)
+
C
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