Sketch the region of integrate d in the xy plane write the

Question

Consider the double integral

I = ∫∫_D √x dA.

where the region D in the xy plane is bounded by the parabolas x = √y and x =y².

a. Sketch the region of integrate D in the xy plane.

b. Write the double integral I as ail iterated integral with order dy dx. and then use it to evaluate the double integral.

c. Write the double integral I as an iterated integral with order dxdy, i, e, fill the blanks for the integral bounds in the following expression. DO NOT EVALUATE!

∫∫_D √x dA = _{( )}∫( ) _{( )}∫^{( )} √x dx dy.