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Question
Mathematics
The value of ∫ e2x(2sin 3x + 3cos 3x)dx is
Q. The value of
∫
e
2
x
(
2
s
in
3
x
+
3
cos
3
x
)
d
x
is
2586
232
Integrals
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A
e
2
x
s
in
3
x
+
C
46%
B
e
x
cosec
x
+
C
24%
C
e
2
x
+
C
14%
D
e
2
x
(
s
in
3
x
)
+
C
16%
Solution:
∫
e
2
x
(
2
s
in
3
x
+
3
cos
3
x
)
d
x
=
2
∫
e
2
x
s
in
3
x
d
x
+
3
∫
e
2
x
cos
3
x
d
x
=
e
2
x
s
in
3
x
−
3
∫
e
2
x
cos
3
x
d
x
+
3
∫
e
2
x
cos
3
x
d
x
+
C
=
e
2
x
s
in
3
x
+
C