Chapter 14.3, Problem 1P

Evaluate the following line integrals in the complex plane by direct integration, that is, as in Chapter $6, Section $8, not using theorems from this chapter. (If you see that a theorem applies, use it to check your result.)

${\displaystyle {\int }_i^{i+1}z}dz$ along a straight line parallel to the $x$ axis.