Limit of a determinant:
Let
provided each of nine
limiting values exist finitely.
Differentiation of a determinant:
Let
then

Integration of a determinant:
Let
where a, b, c, l, m
and n are constants then
If more than
one row (column) of Δ (x) are variable, then in order to
find
first we evaluate the
determinant Δ (x) by using the properties of determinants and we integrate
it.
Ex:
If
then evaluate 
Sol:
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