find the double intetration of volume D (4/5xy+9/11x^2*y^2)dxdy if x=1 ; y=x^3 ; y=-x^1/2
Draw the region defined by the given curves. Then you will see that the double integral is the same as:
$\displaystyle \int_{x=0}^1 \int_{y = -x^{1/2}}^{y = x^3} \frac{4}{5} x y + \frac{9}{11} x^2 y^2 \, dy \, dx$.
It's much less work to do the integration in this order than the other way around (do yu see why?). Can you do the integrations?