Express the integral as a limit of riemann sums. do not evaluate the limit. 5 (sqrt(6 + x^2)) dx 3

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04-08-2018
Mathematics

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Express the integral as a limit of riemann sums. do not evaluate the limit. 5 (sqrt(6 + x^2)) dx 3

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sqdancefan sqdancefan · Answer 1 · 2018-08-04T21:13:18+02:00

sqdancefan sqdancefan

04-08-2018

[tex] \displaystyle \int\limits^5_3 {x\sqrt{6+x^2}} \, dx = \lim_{n \to \infty} \sum\limits_{k=0}^{n-1}\left(\frac{5-3}{n}\sqrt{6+\left(\frac{k(5-3)}{n}+3\right)^{2}}\right) [/tex]

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