1 point) Suppose F ( x , y )=( x +5) i +(2 y +6) j F(x,y)=(x+5)i+(2y+6)j . Use the fundamental theorem of line integrals to calculate the following.

1 point) Suppose F

⃗

(x,y)=(x+5)i

⃗

+(2y+6)j

⃗

F→(x,y)=(x+5)i→+(2y+6)j→ . Use the fundamental theorem of line integrals to calculate the following.

(a) The line integral of F

⃗

F→ along the line segment C

C from the point P=(1,0)

P=(1,0) to the point Q=(2,3)

Q=(2,3) .

∫

C

F

⃗

⋅dr

⃗

∫CF→⋅dr→ =

(b) The line integral of F

⃗

F→ along the triangle C

C from the origin to the point P=(1,0)

P=(1,0) to the point Q=(2,3)

Q=(2,3) and back to the origin.

∫

C

F

⃗

⋅dr

⃗

∫CF→⋅dr→ =