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3.4.6. Double integral in polar coordinates

Lecture



Let the domain D be regular in polar coordinates, i.e. the line φ = c , ( c - const ) intersects the boundary of the domain D no more than two times. Let the domain D be given by the inequalities β ≤ φ ≤ α , ρ 1 ( φ ) ≤ ρρ 2 ( φ ).

Then the double integral   3.4.6.  Double integral in polar coordinates the functions f ( x, y ) , given in rectangular coordinates, can be reduced to calculating the double integral in polar coordinates:

  3.4.6.  Double integral in polar coordinates .

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Mathematical analysis. Integral calculus

Terms: Mathematical analysis. Integral calculus