A body of mass "m" is repelled from the origin by a force F(x). The body is at rest at x_0, a distance from the origin, at t=0. Find v(x) and x(t).
The Attempt at a Solution
I first perform the following steps:
The next step is to integrate v(x) WRT time. Doing this will solve for the position. My homework states that x(t) should be:
If I integrate v(x) WRT time, I will get a different answer for position than the equation above. Is my expression for v(x) incorrect?