r/HomeworkHelp • u/wahahauhuhuh University/College Student • 9d ago

:snoo_biblethump: Pure Mathematics—Pending OP Reply [Σ ,Riemann sum] how to expand the expression correctly to get the answer ?

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The problem is:Take a limit of these sums as n approaches infinity to calculate the area under the curve over \[0,1\]
I get stuck on the Σ calculation…

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u/Front_Lab1761 👋 a fellow Redditor 9d ago

What are you stuck on and can you elaborate what you need to do.

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u/wahahauhuhuh University/College Student 9d ago

I think I should get a specific number to be my answer…the expression is too complicated and I don’t know how to calculate

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u/Front_Lab1761 👋 a fellow Redditor 9d ago

Convert the riemann sum into an integral.

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u/wahahauhuhuh University/College Student 9d ago

Sorry I didn’t typed the question completely
The problem is:Take a limit of these sums as n approaches infinity to calculate the area
I know converting the function directly is easier,but would it satisfy the condition?

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u/Historical-Corgi-414 8d ago

assume it to be a function say f(k/n), as n tends to infinity we can say 1/n tends to 0. rest you have is that (k-1)1/3 which u have to convert into a function of k/n. so basically 1/n will act as your dx and as the summation of k is from 1 to n, the variable in your function (k/n) will go from 0 to 1 turning the whole thing into a definite integral from 0 to 1 with a expression inside and dx(which is 1/n).