## anonymous one year ago how to integrate {1/(kx^2-gm)} where g and m and k are constants

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1. just_one_last_goodbye

This math is so above me knowledge I thought It was spam X'D

2. freckles

do you know if the constants are positive or not?

3. anonymous

they are positive

4. freckles

awesome use partial fractions

5. freckles

$\frac{A}{\sqrt{k}x-\sqrt{gm}}+\frac{B}{\sqrt{k}x+\sqrt{gm}}=\frac{1}{kx^2-gm}$

6. anonymous

i think i can take it from here, thank you for the great hint !

7. freckles

tell me what you find for A and B.

8. freckles

you will get something in terms of g and m

9. 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.

10. 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