- #1

- 190

- 0

From A to B to C to D to A

**C1**= A(0, 0) to B (4, 0)

t

**i**

0 <= t <= 4

**C2**= B (4, 0) to C (4, 7)

4

**i**+ (t - 4)

**j**

4 <= t <= 11

**C3**= C (4, 7) to D (0, 7)

(15 - t)

**i**+ 7

**j**

11 <= t <= 15

**C4**= D (0, 7) to A (0, 0)

(22 - t)

**j**

15 <= t <= 22

Why is that when I take the line integral around this path using [tex]\int_{C }||r'(t)|| dt[/tex] and the above parameterization, I end up with 0, when I should be getting the arc length of the path, which is the perimeter of the square?

Thanks!