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If
∫
(
sin
3
θ
+
sin
θ
)
e
sin
θ
cos
θ
d
θ
=
(
A
sin
3
θ
+
B
cos
2
θ
+
C
sin
θ
+
D
cos
θ
+
E
)
e
sin
θ
+
F
\int (\sin 3\theta + \sin \theta) e^{\sin \theta} \cos \theta d\theta = (A \sin^3 \theta + B \cos^2 \theta + C \sin \theta + D \cos \theta + E) e^{\sin \theta} + F
∫
(
sin
3
θ
+
sin
θ
)
e
s
i
n
θ
cos
θ
d
θ
=
(
A
sin
3
θ
+
B
cos
2
θ
+
C
sin
θ
+
D
cos
θ
+
E
)
e
s
i
n
θ
+
F
…
Mathematics
Problem
If
∫
(
sin
3
θ
+
sin
θ
)
e
sin
θ
cos
θ
d
θ
=
(
A
sin
3
θ
+
B
cos
2
θ
+
C
sin
θ
+
D
cos
θ
+
E
)
e
sin
θ
+
F
\int (\sin 3\theta + \sin \theta) e^{\sin \theta} \cos \theta d\theta = (A \sin^3 \theta + B \cos^2 \theta + C \sin \theta + D \cos \theta + E) e^{\sin \theta} + F
∫
(
sin
3
θ
+
sin
θ
)
e
s
i
n
θ
cos
θ
d
θ
=
(
A
sin
3
θ
+
B
cos
2
θ
+
C
sin
θ
+
D
cos
θ
+
E
)
e
s
i
n
θ
+
F
, then a.
A
=
−
4
,
B
=
12
A = -4, B = 12
A
=
−
4
,
B
=
12
b.
A
=
−
4
,
B
=
−
12
A = -4, B = -12
A
=
−
4
,
B
=
−
12
c.
A
=
4
,
B
=
12
A = 4, B = 12
A
=
4
,
B
=
12
d.
A
=
4
,
B
=
−
12
A = 4, B = -12
A
=
4
,
B
=
−
12
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