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Mathematics
Mathematics
Problem
A wire of length
L
L
L
meters has linear charge density
λ
(
x
)
\lambda(x)
λ
(
x
)
coulombs per meter at position
x
x
x
. Explain what the definite integral
∫
0
L
λ
(
x
)
d
x
\displaystyle \int_{0}^{L} \lambda(x)\,dx
∫
0
L
λ
(
x
)
d
x
represents in this context.
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