anonymous
  • anonymous
The average value of F(x)= -1/(x^2) on (1/2,1) is ?.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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bahrom7893
  • bahrom7893
Integral from 1/2 to 1 of f(x)dx time 1/(b-a)
bahrom7893
  • bahrom7893
so it will be: 1 / (1-1/2) Integral from 1/2 to 1, etc..
anonymous
  • anonymous
so do i take the derevative or the anti ?

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bahrom7893
  • bahrom7893
2 Integral from 1/2 to 1 of -1/(x^2) dx
anonymous
  • anonymous
oh ok so how i thought when i i need to go to an inegral i take the derevative
bahrom7893
  • bahrom7893
no u just integrate..
anonymous
  • anonymous
ok ty again
anonymous
  • anonymous
the answer im getting is -6 which is not a choice
bahrom7893
  • bahrom7893
-1 * 2 = -2
bahrom7893
  • bahrom7893
check the integral
anonymous
  • anonymous
sorry idk what im doing wrong...2(-1/(1/4))-2(-1/1) so -8+2=-6 but that is clearly not right
bahrom7893
  • bahrom7893
Integral of -1/x^2 = Int [-1x^(-2) ] = -1 * x^(-2+1)/(-2+1) = x^(-1) from 1/2 to 1
bahrom7893
  • bahrom7893
1^(-1) - (1/2)^(-1) = 1 - 2 = -1
bahrom7893
  • bahrom7893
then 2*-1 = -2
anonymous
  • anonymous
haha tyvm it just clicked lol

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