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Mathematics
Mathematics
Problem
Find
∫
sin
3
x
cos
5
x
d
x
\displaystyle\int \sin 3x\,\cos 5x\,dx
∫
sin
3
x
cos
5
x
d
x
. a)
cos
8
x
16
+
cos
2
x
4
+
C
\dfrac{\cos 8x}{16}+\dfrac{\cos 2x}{4}+C
16
cos
8
x
+
4
cos
2
x
+
C
b)
−
cos
8
x
8
+
cos
2
x
4
+
C
-\dfrac{\cos 8x}{8}+\dfrac{\cos 2x}{4}+C
−
8
cos
8
x
+
4
cos
2
x
+
C
c)
−
cos
8
x
16
+
cos
2
x
4
+
C
-\dfrac{\cos 8x}{16}+\dfrac{\cos 2x}{4}+C
−
16
cos
8
x
+
4
cos
2
x
+
C
d)
−
cos
8
x
16
+
cos
2
x
2
+
C
-\dfrac{\cos 8x}{16}+\dfrac{\cos 2x}{2}+C
−
16
cos
8
x
+
2
cos
2
x
+
C
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