Math  /  Calculus

QuestionExpress the limit as a definite integral on the given interval. limni=1n[5(xi)35xi]Δx,[2,6]2)dx\begin{array}{c} \lim _{n \rightarrow \infty} \sum_{i=1}^{n}\left[5\left(x_{i}^{*}\right)^{3}-5 x_{i}^{*}\right] \Delta x, \quad[2,6] \\ \left.\int_{2} \square\right) d x \end{array}

Studdy Solution
Write the definite integral using the identified function and interval:
26(5x35x)dx \int_{2}^{6} (5x^3 - 5x) \, dx
The limit of the Riemann sum as a definite integral is:
26(5x35x)dx \int_{2}^{6} (5x^3 - 5x) \, dx

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