Evaluate the line integral, where c is the given curve. (x + 6y) dx + x2 dy, c c consists of line segments from (0, 0) to (6, 1) and from (6, 1) to (7, 0)

Split into two component segments, and , parameterized by

respectively, with , where .

We have

where

so the line integral becomes

98 points djdjsi zisksis sjsjsi sisksj sksjdj sksks sjsisj

-8/2y-8=5/y+4-7y+8/y^2-16

we move all terms to the left:

-8/2y-8-(5/y+4-7y+8/y^2-16)=0

we can not solve this equation