SOLUTION: Please help me solve this equation: Find a vertical line x=a that bisects the region bounded by the curve {{{ y=1/x^2 }}}, the x-axis and between x=1 and x=8.

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Question 350019: Please help me solve this equation: Find a vertical line x=a that bisects the region bounded by the curve +y=1%2Fx%5E2+, the x-axis and between x=1 and x=8.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
I think you mean bisect the area generated by the curve and the x-axis?
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int%28%281%2Fx%5E2%29%2Cdx%2C1%2Ca%29=int%28%281%2Fx%5E2%29%2Cdx%2Ca%2C8%29
int%28%281%2Fx%5E2%29%2Cdx%29=-1%2Fx%2BC
-1%2Fa%2B1=-1%2F8%2B1%2Fa
-2%2Fa=-9%2F8
1%2Fa=9%2F16
a=16%2F9
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highlight%28x=16%2F9%29