Thread: Upper 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

Originally Posted by ShaXar

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

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.

Originally Posted by HallsofIvy

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.

Riemann sums is my guess.

CB

Yes, I was assuming that.