Determine whether the statement is true or false. Explain your answer. In the definition of a double integral ∬ R f x , y d A = lim n → + ∞ ∑ k = 1 n f x k * , y k * ∇ A k the symbol Δ A k represents a rectangular region within R from which the point x k * , y k * is taken.
Determine whether the statement is true or false. Explain your answer. In the definition of a double integral ∬ R f x , y d A = lim n → + ∞ ∑ k = 1 n f x k * , y k * ∇ A k the symbol Δ A k represents a rectangular region within R from which the point x k * , y k * is taken.
Determine whether the statement is true or false. Explain your answer.
In the definition of a double integral
∬
R
f
x
,
y
d
A
=
lim
n
→
+
∞
∑
k
=
1
n
f
x
k
*
,
y
k
*
∇
A
k
the symbol
Δ
A
k
represents a rectangular region within
R
from which the point
x
k
*
,
y
k
*
is taken.
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
Precalculus: Mathematics for Calculus (Standalone Book)
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