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Exercise 1: 1) Consider the integral I = ff, (y²-x²) dxdy on the cartesian plane domain D defined by (x ≥ 0, y ≥0, x² + y² ≤ R²) in polar coordinates. a) Write the integral I in polar coordinates (r, 0). b) Calculate the value of the integral I from its polar expression.

Exercise 1: 1) Consider the integral I = ff, (y²-x²) dxdy on the cartesian plane domain D defined by (x ≥ 0, y ≥0, x² + y² ≤ R²) in polar coordinates. a) Write the integral I in polar coordinates (r, 0). b) Calculate the value of the integral I from its polar expression.

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Exercise 1: 1) Consider the integral I = ff, (y²-x²) dxdy on the cartesian plane domain D defined by (x ≥ 0, y ≥ 0, x² + y² ≤ R²) in polar coordinates. a) Write the integral I in polar coordinates (r, 0). b) Calculate the value of the integral I from its polar expression.
Transcribed Image Text:Exercise 1: 1) Consider the integral I = ff, (y²-x²) dxdy on the cartesian plane domain D defined by (x ≥ 0, y ≥ 0, x² + y² ≤ R²) in polar coordinates. a) Write the integral I in polar coordinates (r, 0). b) Calculate the value of the integral I from its polar expression.
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