Daniaal Sanchez

2021-01-24

Suppose that the n-th Riemann sum (with n sub-intervals of equal length), for some function f(x) on the intrval [0, 2], is ${S}_{n}=\frac{2}{{n}^{2}}\text{}\times \text{}\sum _{k=1}^{n}\text{}k.$

What is the value of${\int}_{0}^{2}\text{}f(x)\text{}dx?$

What is the value of

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