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## Homework Statement

A curve lamda starts in (0,0) and fallows a straight line from x = 0, y = 0 to x = 1, y = 0 and then another straight line to x = 2 and y = 1. Calculate the line integral I =

**S**

**v**d

**r**

where

**S**is an integral s

**v**= (x+3y)

**i**+ (3+y)

**j**

## Homework Equations

## The Attempt at a Solution

the first line

y = 0

dy = 0

**S**x dx from 0 to 1

= 1/2

The second line

x = t

y = t

dx = dt

dy = dt

**S**(t+3t)dt + (3+t)dt

and here it stops. Both x and y are variables and x are supposed to go from 1 to 2 and y from 0 to 1.