Question

Find a formula for RN, the right-endpoint approximation, for f(x) = x^2 + 1 on the interval [0, 1]. Then compute the area under the graph by evaluating the limit of RN as N -> infinity

Answer 1

\[\sum_{0}^{1}x^2 + 1\]

Answer 2

Look OK?

Answer 3

well you are kinding missing the area's..
and I don't think taking the sum from 0 to 1 will be a good approximation

Answer 4

let's look at your graph

Pretend that is a lovely picture of f(x)=x^2+1 on [0,1]

Answer 5

pretend we wanted to divide the length from 0 to 1 into n equal parts