In this worksheet, we will practice finding the line integral of a vector field along an oriented piecewise differentiable curve in the plane.

**Q1: **

Calculate for the vector field and curve , where , , , and .

- A
- B0
- C
- D
- E

**Q2: **

Calculate for the vector field and curve , where and is the polygonal path from to to to .

- A0
- B
- C
- D
- E

**Q3: **

Calculate for the vector field and curve , where , , , and .

**Q4: **

Calculate for the vector field and the curve , , , .

- A
- B
- C
- D
- E

**Q5: **

Calculate for the vector field and curve , where , , , and .

**Q6: **

Calculate for the vector field and curve , where , , , and .

**Q7: **

Calculate for the vector field and curve , where ; , , .

- A0
- B
- C
- D
- E

**Q8: **

Suppose is the path given by for , is the path given by for , and . Without calculating the integrals, which of the following is true?

- A
- B
- C