MathProblemsBank

i.1.58 Double integrals

condition: Calculate the integral \( \iint_{\Delta}(x-y) d x d y \), if the area \( \Delta \) is limited by the lines: \( y=0 \), \( y=x^{2}, x=2 \)

Double and iterated integrals over various areas of integration, conversion from Cartesian to polar coordinates, calculation of the Jacobian, changing the limits of integration, transformation of variables in the integral.

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