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Mathematics
Mathematics
Problem
Evaluate the definite integral
∫
0
∞
e
−
5
x
d
x
,
\int_{0}^{\infty} e^{-5x} dx,
∫
0
∞
e
−
5
x
d
x
,
which represents the area under the curve
y
=
e
−
5
x
y = e^{-5x}
y
=
e
−
5
x
above the
x
x
x
-axis for
x
≥
0
x \ge 0
x
≥
0
.
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