- #1
PsychStudent
- 9
- 0
Homework Statement
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.
Homework Equations
dx=[tex]\frac{3}{n}[/tex], [tex]x_{i} = -3 + \frac{3i}{n}[/tex]
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!