Integrating an equation with scale factor

[Rick88]

Homework Statement

Ok, the problem is simple enough, I think. I just think I'm missing something obvious.
I have an equation involving the scale factor R(t) and need to integrate it.

I am at the first equation and need to get to the second by integrating (with respect of R, I suppose)
http://www.freeimagehosting.net/uploads/0845e0c8ef.jpg

Homework Equations

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The Attempt at a Solution

I tried integrating wrt R and the solution is right except that I have a term too many. It seems that the first term, the one with the double dotted R, just disappears after integration?

I am puzzled by that.
I don't know where it goes and why.
The other terms, as I said, are right.

PS: the first equation is right, as I was asked to show something.


Thanks!

 

[mark726]

It seems like you are trying to integrate the equation involving the scale factor R(t). In order to do so, you will need to use the proper integration technique and also make sure that you are taking into account any constants or terms that may be present in the original equation.

First, make sure that you are integrating with respect to the correct variable. In this case, since the equation involves R(t), you will need to integrate with respect to R. Also, make sure that you are using the correct integration technique, such as integration by parts or substitution.

Next, check to see if there are any constants or terms that need to be accounted for in the integration process. It is possible that the first term with the double-dotted R may have a constant or coefficient that needs to be included in the final solution.

If you are still having trouble, it may be helpful to seek assistance from a colleague or consult a textbook on integration techniques. Remember to always double check your work and make sure that your final solution makes sense in the context of the problem.

Best of luck with your integration and problem solving!A fellow scientist