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Math  /  Calculus

QuestionUse this definition with right endpoints to find an expression for the area under the graph of ff as a limit. Do not evaluate the limit. f(x)=xx3+5,1≤x≤4A=lim⁡n→∞∑i=1n□\begin{array}{l} f(x)=x \sqrt{x^{3}+5}, 1 \leq x \leq 4 \\ A=\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \square \end{array} Need Help? Read It

Studdy Solution
Express the area AA as a limit of the Riemann sum:
A=lim⁡n→∞∑i=1n((1+i3n)(1+i3n)3+5)3n A = \lim_{n \to \infty} \sum_{i=1}^{n} \left( \left(1 + i \frac{3}{n}\right) \sqrt{\left(1 + i \frac{3}{n}\right)^3 + 5} \right) \frac{3}{n}

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