anonymous
  • anonymous
how to integrate {1/(kx^2-gm)} where g and m and k are constants
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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just_one_last_goodbye
  • just_one_last_goodbye
This math is so above me knowledge I thought It was spam X'D
freckles
  • freckles
do you know if the constants are positive or not?
anonymous
  • anonymous
they are positive

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freckles
  • freckles
awesome use partial fractions
freckles
  • freckles
\[\frac{A}{\sqrt{k}x-\sqrt{gm}}+\frac{B}{\sqrt{k}x+\sqrt{gm}}=\frac{1}{kx^2-gm}\]
anonymous
  • anonymous
i think i can take it from here, thank you for the great hint !
freckles
  • freckles
tell me what you find for A and B.
freckles
  • freckles
you will get something in terms of g and m
Kainui
  • Kainui
Just curious, where did this problem come from? It looks like it might have to do with solving a differential equation involving a spring and gravity or something interesting.
anonymous
  • anonymous
True, i am modelling throwing a basketball, and trying to solve for the speed, this came up when i am analyzing the vertical motion of the ball

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