approximate the area of the region R which is bounded above b the parbola y=x^2+1, below by the x-axis, on the left by the line x=-2 and on the right by the line x=3. can u find the answer?

Question

mr.math · Answer

What about an exact answer? I hate approximation!

turingtest · Answer

can you draw a picture of the graphs?

anonymous · Answer

subdivide [-2,3] into n=5 subintervals

turingtest · Answer

well that changes things a bit...

anonymous · Answer

triangle ix=b-a/n

earthcitizen · Answer

can you give the equation ?

turingtest · Answer

$$A\approx \sum_{i=1}^{n}f(x_i)\Delta x$$where$$\Delta x=\frac{b-a}{n}$$

anonymous · Answer

A_R≅f(∝i)∆ix

turingtest · Answer

something like that

earthcitizen · Answer

what rule or formula was that ?

turingtest · Answer

Reimann sum

turingtest · Answer

http://en.wikipedia.org/wiki/Riemann_sum

earthcitizen · Answer

Trapezoidal rule

turingtest · Answer

They have it written slightly differently because they represent each part of delta x separately.
Since Delta represent "change in" though, they are the same.
^Yes that is the same.

earthcitizen · Answer

$$\int\limits_{-2}^{3} x ^{2}+1$$

turingtest · Answer

No that will not be an approximation.

earthcitizen · Answer

tru

earthcitizen · Answer

nt a fan of approx..lol

earthcitizen · Answer

how will you approxim8 ?

turingtest · Answer

It hasn't told us what kind of Reimann sum to do. There are a few, but above is a formula I gave above is for approximation from the right endpoints of the rectangles I think.

turingtest · Answer

More or less we are breaking it up like this:|dw:1324866424294:dw|