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Integrate the improper integral (use correct notation). State whether it's converging or diverging.
10
∫ 7/(x-9)^2 dx
8
b c
∫ f(x) dx= lim ∫ f(x) dx
a c → d a
b
lim ∫ 7(x-9)^2 dx
c → 10- 8
Let u= x-9
-du= dx
lim ∫ -u^2
c→10-
lim -2u^2
c→10-
lim -2(x-9)^2
c→10-
lim -2(10-9)^2-2(8-9)^2
c→10-
I know I must be doing something wrong because the answer is ∞, any ideas where I went wrong?
Homework Statement
Integrate the improper integral (use correct notation). State whether it's converging or diverging.
10
∫ 7/(x-9)^2 dx
8
Homework Equations
b c
∫ f(x) dx= lim ∫ f(x) dx
a c → d a
The Attempt at a Solution
b
lim ∫ 7(x-9)^2 dx
c → 10- 8
Let u= x-9
-du= dx
lim ∫ -u^2
c→10-
lim -2u^2
c→10-
lim -2(x-9)^2
c→10-
lim -2(10-9)^2-2(8-9)^2
c→10-
I know I must be doing something wrong because the answer is ∞, any ideas where I went wrong?