(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Evaluate the integral by interpreting it in terms of areas.

[tex]\int(1+\sqrt{9-x^{2}})dx}[/tex]

The integral is from -3 to 0. I should be able to evaluate it as a limit of sums, since I've not been taught the fundamental theorem of calculus yet.

2. Relevant equations

dx=[tex]\frac{3}{n}[/tex], [tex]x_{i} = -3 + \frac{3i}{n}[/tex]

3. The attempt at a solution

I've gotten as far as [tex]3 + \frac{3}{n}\sum\sqrt{9-x^{2}[/tex] by applying summation rules. I just don't know how to evaluate a sum of a square root.

Thanks!

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# Homework Help: Integral evaluation

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