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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.
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