- #1
SYoungblood
- 64
- 1
Homework Statement
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Hello, thank you in advance for your help. I am calculating a Riemann sum with right hand endpoints. I hit a small snag, and I appreciate your help in getting me straight.
Homework Equations
f(x) = x2+ 1, over the interval [0,1]. This is problem number such-and-such from a well-known calculus textbook, not anything that is on an exam that I know of. The limit of these sums approaches infinity.
I'll call the Riemann Sum Sp, the length (x value) of the rectangles ∆x, and the height of the rectangles (y value) ck.
The Attempt at a Solution
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∆x = 1/n, good to go.
ck = a + k[(b - a)/n] = 0 + k (1/n) = k/n
Sp = Σ(k = 1, n) k/n * 1/n + 1
Sp = 1/n2 Σ(k = 1, n) k + 1
And here is where I ran out of juice.
Again, and help is appreciated.
SY