Chapter 6.12, Problem 31MP

In Problems 20 to 31, evaluate each integral in the simplest way possible.

${\displaystyle \int \left(y^2-x^2\right)}dx+(2xy+3)dy$ along the $x$ axis from (0,0) to ( $\sqrt{5},0$ ) and then along a circular arc from ( $\sqrt{5},0$ ) to ( 1,2 ). Hint: Use Green’s theorem.