Multivariable Calculus

How to solve

∫∫_R 1 dA equals the area of R. Iterate: inner then outer.

Steps

  1. Integrate in y, then x (or vice versa).
  2. For constant 1, get width × height.

Example

∫_0^2 ∫_0^3 1 dy dx

  1. Area = 6.

Answer: 6

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