posted by Michelle .
1. Sketch the region of integration & reverse the order of integration. Double integral y dydz... 1st (top=1, bottom =0)... 2nd(inner) integral (top=cos(piex), bottom=(x-2)...
2. Evaluate the integral by reversing the order of integration. double integral sqrt(2+x^3) dxdy... 1st integral (top=1, bottom=0)... 2nd (interior) integral(top=1, bottom=sqrt(y)).
3. Evaluated the integral using a change of variables; double integral sin(x+y) dxdy... below both integral signs is R... over the region R being on the disc x^2 +u^2<=2.