Approximation The figure shows the level curves for a functionover a square region

Chapter 14, Problem 6

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Approximation The figure shows the level curves for a function f over a square region R. Approximate the integral using four squares, selecting the midpoint of each square as \(\left(x_{i}, \ y_{i}\right)\).

\(\int_{0}^{2} \int_{0}^{2} f(x, \ y) \ d y \ d x\)

Text Transcription:

(x_i, y_i)

int_0 ^2 int_0 ^2 f(x, y) dy dx

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