Evaluate the following integrals. a) dx 2x² x³ +1 x² +1 x-5 b) c) d) XIX x3 dx dx dx e) dx 3) Consider the differential equation y'-y = x. a) Verify that y(x)=-x-1+2e* is a solution of the equation. Show all work. b) Give another non-trivial function that is also a solution. 4) Graph the slope field for y'=x-y on [-3,3, 1] x [-3,3,1] by hand. Show the specific solution curve with y(0) = 0.