- #1

popo902

- 60

- 0

## Homework Statement

Suppose C is the line segment from the point (1,0) to the point (3,1). Compute the line integral

intC {( xdx + (x + y)}dy

## Homework Equations

## The Attempt at a Solution

i graphed the line that connects(1,0) to (1,3) and i got the equation of that line

so y = 1/2(x-1) or y=1/2x -1/2

dy= 1/2

i set x=t

and dx=1

my endpoints of integration became t=1 and t=3

then i plugged everything in

so my integral looked like this

1<= t<= 3 {(t(1) + (t + (1/2t - 1/2)) }1/2

i simplified that to this:

5/4t - 1/4

and i integrated that over 1->3

and i got 9/2...but it's wrong?

can someone tell me what I am doing wrong??