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Mathematics
Mathematics
Problem
Which of the following is an antiderivative of
4
x
e
4
x
4x e^{4x}
4
x
e
4
x
? a)
x
e
4
x
−
e
4
x
+
C
x e^{4x} - e^{4x} + C
x
e
4
x
−
e
4
x
+
C
b)
x
e
4
x
+
1
4
e
4
x
+
C
x e^{4x} + \dfrac14 e^{4x} + C
x
e
4
x
+
4
1
e
4
x
+
C
c)
x
e
4
x
−
1
4
e
4
x
+
C
x e^{4x} - \dfrac14 e^{4x} + C
x
e
4
x
−
4
1
e
4
x
+
C
d)
1
4
x
e
4
x
−
e
4
x
+
C
\dfrac14 x e^{4x} - e^{4x} + C
4
1
x
e
4
x
−
e
4
x
+
C
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