Is this line (curve) integral correct?

Question

anonymous · Answer

The line is in the first quadrant! Please verify this. Is it correct?

anonymous · Answer

Hi, 

Unless the original problem was with respect to time, the dt is not necessary.
You could have solved with respect to x....other than that no problems...

If you need to see the work, let me know.

I hope this helps!

anonymous · Answer

Also, since you mentioned that the graph was in the first quadrant you can immediately drop the absolute value symbols...makes the problem a little easier to manage.

anonymous · Answer

Oh so the solution is correct then just the t parameter was unnecessary? I'm just learning line integrals and see always that x and y functions are being converted into parametric functions so I thought I need to do it.

anonymous · Answer

correct...depending on the problem...sometimes the problems are set with respect to time in which case you need the t parameter, but it didn't appear to be the case in the problem description.

anonymous · Answer

OK, thank you. You answered my question.