- #1

qq545282501

- 31

- 1

## Homework Statement

[tex] \int xydx+ 4ydy[/tex]

where C is the curve from (1,2) to (3,5) made up of the twoline segments parallel to the coordinate axes.

[tex]c_1:(1,2)\rightarrow(3,2)[/tex]

[tex]c_2:(3,2)\rightarrow(3,5)[/tex]

## Homework Equations

## The Attempt at a Solution

i got c2 correct, y=2+3t, and x = 0, for t goes from 0 to 1.

but i got c1 wrong, for c1, i see only x is changing, x=1+2t. so x'(t)= 2. if y value is not changing, it means that dy=0, my professor had y=1, by setting 2xy=2x, i guess 2xy is the first half of the initial integral by replacing dx with 2, but i don't understand what is 2x on the right side of the equation.