What are the expressions of Un and Ln (n is the number of small regtangles) for f(x)=sinx on [0,π/2] ?

(NO need to evaluate these sums)

Thanks

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- April 23rd 2010, 01:09 AMShaXarUpper and Lower expression for f(x)=Sinx
What are the expressions of Un and Ln (n is the number of small regtangles) for f(x)=sinx on [0,π/2] ?

(NO need to evaluate these sums)

Thanks - April 23rd 2010, 04:24 AMHallsofIvy
Do understand what Un and Ln mean? The rest is just arithmetic. Divide the interval from 0 to into n intervals of equal length so that each has length . Since sin(x) is an increasing function on , the lowest value in each interval is at the left endpoint, and the highest value is at the right endpoint, with i going from 0 to n-1.

- April 23rd 2010, 04:56 AMCaptainBlack
- April 23rd 2010, 06:34 AMHallsofIvy
Yes, I was assuming that.