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# Integration watch

1. If i have got 36v.dv/36+v^2 =-g.dx
and i have to integrate what would i get on the left hand side? Ik i will get -gx+c on the right hand and i will get ln on the left but what goes in front of the ln?
2. (Original post by English-help)
If i have got 36v.dv/36+v^2 =-g.dx
and i have to integrate what would i get on the left hand side? Ik i will get -gx+c on the right hand and i will get ln on the left but what goes in front of the ln?
This is so ambiguous...

Do you mean ??

In which case, what is the derivative of ?? How can you manipulate the numerator to make it equal to that derivative?
3. (Original post by RDKGames)
This is so ambiguous...

Do you mean ??

In which case, what is the derivative of ?? How can you manipulate the numerator to make it equal to that derivative?
Yes i mean that!
The derivative of 36+v^2 is 2v and you have to times by 2 if you take the 36 outside
4. (Original post by English-help)
Yes i mean that!
The derivative of 36+v^2 is 2v and you have to times by 2 if you take the 36 outside
But then you'd have 72v if you do that.

Just factor out 18.
5. Turn the inside of the integration on the left into f'(x)/f(x), should then know what integrating this makes.
6. (Original post by RDKGames)
But then you'd have 72v if you do that.

Just factor out 18.
Okay ill factor out 18! Yeah ive done it thanks
7. it is best to put modulus lines when you get ln?

ln |?|

although in this case 36 + v2 will always be positive.|

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