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Applications of Integration
Areas, volumes, arc length, surface area, work, hydrostatic force, center of mass, and probability.
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Given
x
=
t
2
x = t^{2}
x
=
t
2
and
y
=
t
3
y = t^{3}
y
=
t
3
,
find
d
y
d
x
\frac{dy}{dx}
d
x
d
y
at
t
=
2
t = 2
t
=
2
.
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