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Mathematics
Mathematics
Problem
Investigate the curve
y
=
e
−
x
sin
(
x
)
y = e^{-x} \sin(x)
y
=
e
−
x
sin
(
x
)
. Find the exact area of the triangle formed by the origin
(
0
,
0
)
(0, 0)
(
0
,
0
)
, the first local maximum
M
(
x
1
,
y
1
)
M(x_{1}, y_{1})
M
(
x
1
,
y
1
)
, and the first root on the positive
x
x
x
-axis
P
(
π
,
0
)
P(\pi, 0)
P
(
π
,
0
)
.
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