Question

I'm in Calc 3 and we're studying for our final. One review question that I'm not sure how to do involves LINE INTEGRALS - Integral of (2x+y)dx + (x-y)dy; C is the line segment from (1,1) to (3,-1).....help?

Answer 1

Find eq of line (1,1), (3,-1)

Answer 2

you can use the line segment formula which is r(t)=(1-t)r(initial) + tr(final) the restrictions are 0<t<1 those are suppose to be less than or equal to signs.

If you find the equation of the line, you'll have y=something, so from their you can either put everything in terms of x but you need to find dy.