Question

Please help me with the following line integral. Evaluate the line integral of F (dot) dr along the line segment C from P to Q
F(x,y)=8i+8j
P(-4,4)
Q(-4,5)

Answer 1

step 1: find r(t) by the formula
\[ r(t) = (1-t)r_0+t*r_1\]\(\text{t goes from 0 to 1}\)
step2: calculate r'(t)
step 3 calculate F (r (t))
step4 calculate F(r(t) dot r'(t)
step5 take integral from 0 to 1 of the product from step 4