Results are out! Find what you Get quick advice or join the chat
Hey! Sign in to get help with your study questionsNew here? Join for free to post

Integrating one variable with respect to another

Announcements Posted on
  1. Offline

    Hi I need to calculate this:

     \int \frac{k}{m}v^2 \, dt

    Where V and t are variables and k and m are constants. I don't know how to go about this with there being a second variable. Can anyone help?
  2. Offline

    velocity is the first derivitive of displlacement with respect to time.

    ... perhaps if you gave the entire question we may be able to help - integrating squares of derivitives is diffcult in most cases.
  3. Offline

    Its v a known function of t. If so substitute that in.

    If you are trying to solve the differential equation


\displaystyle \frac{dv}{dt} = \frac{k}{m}v^2

    Then you must seperate your variables before integrating
  4. Offline

    That is what i'm trying to do SCE1912 I think I've done it now.
    Is the solution  t = \frac{m}{kv}+c
  5. Offline

    you need a minus
  6. Offline

    oh yeah got it now thanks guys


Submit reply


Thanks for posting! You just need to create an account in order to submit the post
  1. this can't be left blank
    that username has been taken, please choose another Forgotten your password?
  2. this can't be left blank
    this email is already registered. Forgotten your password?
  3. this can't be left blank

    6 characters or longer with both numbers and letters is safer

  4. this can't be left empty
    your full birthday is required
  1. By joining you agree to our Ts and Cs, privacy policy and site rules

  2. Slide to join now Processing…

Updated: March 1, 2009
TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

Today on TSR

Applying to uni

The latest advice and trending discussions are all here

Should junk food ads be banned?
Study resources
Quick reply
Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.