Simple line integral problem I cant seem to get

Join the discussion
Registration is free. Ask a follow-up in this thread, or start your own.
2 replies · 2K views
gr3g1
Messages
71
Reaction score
0
I have to evaluate the line integral :
[itex]\oint_{}^{} (2x + y)dx + xydy[/itex] between (-1,2) and (2,5)

on the curve: [itex]y = x + 3[/itex]

So, what I did was:
[itex]\int_{-1}^{2} (3x+3)dx + \int_{2}^{5} (x^{2} + 3x)dx[/itex]

However, this is wrong and I am not sure why!
Can someone please guide me?
Thanks a lot!
 
Physics news on Phys.org
You are parametrizing the curve by the value of x which goes from -1 to 2. In BOTH parts. Since you've expressed the dy part of the integral in terms of x, why are you using the y limits there?