A graph of
f
(
x
)
=
1
(
2
−
x
)
2
\displaystyle {f{{\left({x}\right)}}}=\frac{{1}}{{{\left({2}-{x}\right)}^{{2}}}}
f
(
x
)
=
(
2
−
x
)
2
1
follows.
1
1
2
3
4
5
6
7
8
9
10
The improper integral
∫
0
2
1
(
2
−
x
)
2
d
x
\displaystyle {\int_{{0}}^{{2}}}\frac{{1}}{{{\left({2}-{x}\right)}^{{2}}}}{\left.{d}{x}\right.}
∫
0
2
(
2
−
x
)
2
1
d
x
diverges
converges
.
If it is convergent, then its area =
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Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity