I.1.69 Double Integrals

Condition: Calculate the double integral: \ [\ iint_ {d} \ left (9 x^{2} y^{2} +25 x^{4} y^{4} \ RIGHT) D X D Y \] \ [D: X = 1, Y = X^{3}, y = -x^{\ frac {1} {3}} \]

Double and itieded integrals over Various Areas of Integration, Conversion from Cartesian to Polar Coordinates, Calculation of the Jacobian, Changing the Integration, Transformation of Variables in the Integral.