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Riemann Sums
8. Definite Integrals / Riemann Sums / Problem 3
Problem 3

Express the following limit of Riemann sums as a definite integral by identifying the function:
limΔ0k=1n(xk)2exkΔxk    on [0,1]\(\displaystyle\[\lim\)_{\(\Delta\]\rightarrow\)0} \(\sum\)_{k=1}^n (x_k^*)^2 e^{x_k^*} \(\Delta\) x_k~~~\(\text{ on }\) [0,1]