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IgorC
[24]
3 years ago
11
Find the length of the curve y = integral from 1 to x of sqrt(t^3-1)
Mathematics
Answer
Comment
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1
answer:
Arlecino
[84]
3 years ago
6
0
By the fundamental theorem of calculus,
Now the arc length over an arbitrary interval
is
But before we compute the integral, first we need to make sure the integrand exists over it.
is undefined if
, so we assume
and for convenience that
. Then
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