Evaluate the line integral, where C is the given curve:
[tex]\int_C\,y\,ds \, \,\,\,\,C:\,x=t^2\,\,\,\,y=t[/tex]
for t between 0 and 2 (out of curiousity, how do you make the "greater than or equal 2" in LateX)
Okay, in the book the line integral is defined as [tex]\int_C F\cdot dr=\int_a^bF(r(t))\cdot r'(t)\,dt[/tex]
Okay now what is F in this case? What is "ds"? what happened? Why is the problem format so different from the definition?
Can someone help me out conceptually on this one?