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Mathematics
Mathematics
Problem
A particle moves in the plane according to the position vector
r
(
t
)
=
⟨
x
(
t
)
,
y
(
t
)
⟩
\mathbf r(t)=\langle x(t),y(t)\rangle
r
(
t
)
=
⟨
x
(
t
)
,
y
(
t
)⟩
for
2
≤
t
≤
6
2\le t\le 6
2
≤
t
≤
6
. Explain, in a single sentence, what the quantity
1
4
∫
2
6
x
(
t
)
d
t
\dfrac{1}{4}\displaystyle\int_{2}^{6} x(t)\,dt
4
1
∫
2
6
x
(
t
)
d
t
represents.
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