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Mathematics
Mathematics
Problem
Consider the function
f
(
x
)
=
2
e
−
x
−
3
f(x) = 2e^{-x} - 3
f
(
x
)
=
2
e
−
x
−
3
and the linear function
g
(
x
)
=
−
3
g(x) = -3
g
(
x
)
=
−
3
. Find the area of the region bounded by the curve
f
(
x
)
f(x)
f
(
x
)
, the line
g
(
x
)
g(x)
g
(
x
)
, the
y
y
y
-axis, and the line
x
=
ln
(
4
)
x = \ln(4)
x
=
ln
(
4
)
.
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