(adsbygoogle = window.adsbygoogle || []).push({}); Evaluating indefinite integral -- toughie!

I have the velocity function v(x) = [(k*x^2)/(2*m)] + v0

I need to integrate this to get position as a function of time.

So v = dx/dt.

Separating variables, I get t = Integral [2m/(2mv0 + kx^2)]

Here's where I'm stuck...If i pull out the 2m, then I get something that resembles the integral which equals arc tangent.

Am I on the right track?

Can someone check my though process?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Evaluating indefinite integral - toughie!

**Physics Forums | Science Articles, Homework Help, Discussion**