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# Integrating one variable with respect to another

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1. Hi I need to calculate this:

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

If you are trying to solve the differential equation

Then you must seperate your variables before integrating
4. That is what i'm trying to do SCE1912 I think I've done it now.
Is the solution
5. you need a minus
6. oh yeah got it now thanks guys

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