Question

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

Answer 1

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

Answer 2

do you know if the constants are positive or not?

Answer 3

they are positive

Answer 4

awesome
use partial fractions

Answer 5

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

Answer 6

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

Answer 7

tell me what you find for A and B.

Answer 8

you will get something in terms of g and m

Answer 9

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.

Answer 10

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