(Drag and drop the missing words) An is the of a definite integral as an endpoint of the interval of integration approaches either a specified real number or positive or negative . Although the integral dx is , the integral da is improper. In this case, we define the improper integral as a limit dz de lim In general, an improper integral if the limit defining it Thus for example dx does not It is possible for an improper integral to to infinity. For instance, 00 dr dr lim is However, there are many improper integrals which diverge in no particular direction, such as z sin zdr oscillates infinity diverge divergent Riemann integral infinite integral exists converge definite integral limit converges improper integral not improper zero

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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(Drag and drop the missing words)
An
is the
of a definite integral as an endpoint of the interval of integration approaches either a specified real
number or positive or negative
. Although the integral
da
is
, the integral
da
is improper. In this case, we define the improper integral as a limit
dr
de
lim
In general, an improper integral
if the limit defining it
Thus for example
dx
does not
.It is possible for an improper integral to
to infinity. For instance,
00 dr
dr
= lim
C00
is
However, there are many improper integrals which diverge in no particular direction, such as
z sin zdr
oscillates
infinity
diverge
divergent
Riemann integral
infinite integral
exists
converge
definite integral
improper integral
limit
converges
not improper
zero
一”
Transcribed Image Text:(Drag and drop the missing words) An is the of a definite integral as an endpoint of the interval of integration approaches either a specified real number or positive or negative . Although the integral da is , the integral da is improper. In this case, we define the improper integral as a limit dr de lim In general, an improper integral if the limit defining it Thus for example dx does not .It is possible for an improper integral to to infinity. For instance, 00 dr dr = lim C00 is However, there are many improper integrals which diverge in no particular direction, such as z sin zdr oscillates infinity diverge divergent Riemann integral infinite integral exists converge definite integral improper integral limit converges not improper zero 一”
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