I.1.56 Double Integrals

Condition: Present a double integral \ (\ iint_ {g} f (x, y) d x d y \) in the form of a second integral: a) with external integration by \ (x \), ex external integration by \ (y \) if the region \ (d \) is specified by the limits: \ [D: Y: Y: Y. \ leq \ sqrt {4-x^{2}}, \ quad y \ geq x, \ quad x \ geq 0 \]

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.