Chapter 14.3, Problem 2P

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.)

${\displaystyle {\int }_0^{1+i}\left(z^2-z\right)}dz$

(a) along the line $y=x;$

(b) along the indicated broken line.