Results are out! Find what you need...fast. 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
Talking about ISA/EMPA specifics is against our guidelines - read more here 05-03-2015
  1. Offline

    ReputationRep:
    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

    ReputationRep:
    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

    ReputationRep:
    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

    ReputationRep:
    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

    ReputationRep:
    you need a minus
  6. Offline

    ReputationRep:
    oh yeah got it now thanks guys

Reply

Submit reply

Register

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
2015 general election
New on TSR

Vote in the TSR Political Party Contest!

Choose which TSR Party you want in Number 10

Article updates
Quick reply
Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.