# Worksheet: Line Integrals in the Plane

Q1:

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

• A
• B0
• C
• D
• E

Q2:

Evaluate , where and .

• A0
• B
• C
• D
• E

Q3:

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

• A0
• B
• C
• D
• E

Q4:

Evaluate , where and .

• A82
• B21
• C
• D
• E9

Q5:

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

Q6:

Evaluate , where and .

• A26
• B13
• C
• D
• E9

Q7:

Evaluate , where , , and for .

• A26
• B13
• C
• D
• E9

Q8:

Evaluate , where is the polygonal path from to to .

• A2
• B5
• C
• D
• E10

Q9:

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

• A
• B
• C
• D
• E

Q10:

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

Q11:

Calculate for the function and curve , where and is the path from counterclockwise along the circle to the point and then back to along the -axis.

• A
• B
• C
• D
• E

Q12:

Calculate for the function and curve , where , , and .

• A
• B
• C
• D
• E2