Estimate the area under the graph of f(x) = 2 - sin(x)?
Estimate the area under the graph of f(x) = 2 - sin(x)? from x=0 to x=pi using n=6 rectangles and left endpoints/right endpoints/midpoints?
Estimate the area under the graph of f(x) = 2 - sin(x)? from x=0 to x=pi using n=6 rectangles and left endpoints/right endpoints/midpoints?
1 Answer
Exact 5.2831
Approx Upper sum=4.329
Explanation:
Let's estimate using 6 rectangles and a upper sum. Since we are estimating area from 0 to
Given function is
So our endpoints be
Evaluate each points to get the height of each rectangle.
Evaluating each we get
Adding all this values,
Multiply by
Where as actual value can be evaluated using integration.
Thank you.