Evaluate the double integral:
1.) the integral from 0 to 1 and the integral from 1 to 2 of (xe^x)/y dy dx2.) the integral from 0 to 1 and the integral from 0 to 1 of (s+t)^(1/2) ds dt3.) Find the volume of the solid enclosed by the surface z= 1 + (e^x)sin(y) and the planes r= (+/-1) y =0 y= pi.(See Section 15.3 of Attachment Numbers 12 42 48 52 consecutively)4.) Double Integral D x(y^2-x^2)^(1/2) dA D={(xy)|0<(or =) y < (or =) 1 0 <(or=) x <(or =) y}5.) Sketch the region of integration and change the order of integration:
The double Integral Integral from 0 to 3 and the integral from 0 to (9-y)^(1/2) of f(xy) dx dy6.) Evaluate the Double Integral by reversing the order of integration:
Integral from 0 to 1 the integral from x to 1 of e^(x/y) dy dx7.) The Double Integral (D) y dA Express D as a union of regions as type I or II and evaluate the integral