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Mathematics
Problem
Which of the following represents the complete family of antiderivatives of
f
(
x
)
=
4
e
4
x
−
6
sec
2
(
3
x
)
f(x)=4e^{4x}-6\sec^{2}(3x)
f
(
x
)
=
4
e
4
x
−
6
sec
2
(
3
x
)
? a)
4
e
4
x
−
2
tan
(
3
x
)
+
C
4e^{4x}-2\tan(3x)+C
4
e
4
x
−
2
tan
(
3
x
)
+
C
b)
e
4
x
+
2
tan
(
3
x
)
+
C
e^{4x}+2\tan(3x)+C
e
4
x
+
2
tan
(
3
x
)
+
C
c)
e
4
x
−
2
tan
(
3
x
)
+
C
e^{4x}-2\tan(3x)+C
e
4
x
−
2
tan
(
3
x
)
+
C
d)
e
4
x
−
6
tan
(
3
x
)
+
C
e^{4x}-6\tan(3x)+C
e
4
x
−
6
tan
(
3
x
)
+
C
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