Multiple integrals: Double integrals
Double integrals approximated with a Riemann sum
Approximate the double integral with via a Riemann sum over evenly divided partition with mesh size. That is, we divide the square into four sub-squares with sides of length and we index them as shown in the figure below.
Within each sub-square we take the punt in het midden as tag . Use this to calculate the Riemann sum and compare it to the exact result which is equal to .
Do the same, but now choose the hoekpunt linksboven as tag of the subs-square
| with punt in het midden as tag. |
| with hoekpunt linksboven as tag. |
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