We need to perform these estimations for three different numbers of subregions (intervals): N = 180, N = 370, and N = 750.
The integral is given by:
$$S = \int_{1.29}^{3.00} \frac{e^{2x}}{\sqrt{x+3}}dx$$
Here, the function is $f(x) = \frac{e^{2x}}{\sqrt{x+3}}$,
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