??? ???Using the maxima and minima of the function, produce upper and lower estimates of the integral
where is the circular disk: .
how to do that?
Whoops. I did only one quadrant.
The question states, "produce upper and lower estimates". $\displaystyle 9\pi$ IS a lower bound.
Please think about the process and solution rather than simply spewing whatever your repsonse prompts you.
Did you do as I asked? Did you try those integrals again or did you just type in my answer?
I used polar coordinate to estimate. For the lower bound, I try to integrate
r from 0 to 3 and $\displaystyle \theta$ from 0 to $\displaystyle \pi$
the answer turn out to be $\displaystyle e^{45} \pi - \pi$ and it is not correct.
In fact, i do not quite understand by "upper and lower estimates of the integral".