Intro to Integrals
I'm stressing out because I've been on this problem for hours and I'm still getting nowhere.
The question asks:
Let R denote the region that lies below the graph of on the interval [-1, 2].
Estimate the area of R using six approximating rectangles of the same width and
(a) left endpoints,
(b) right endpoints
my prof doesn't really have notes on what to do and I'm really confused since it wants an estimate, and not an exact answer...
For (a), since the area of one block is:
but I'm not even sure if that's right...
Please help me! Student in distress!
I overcomplicated it.
Thought I was supposed to use something the prof taught us.
Thank you for explaining everything very well!
Other methods that give approximations to the area under the curve (and in many cases, better approximations) are the midpoint rule and the trapezoidal rule.
Rectangle method - Wikipedia, the free encyclopedia
Trapezoidal rule - Wikipedia, the free encyclopedia
Oh wow, thanks for the links!