Stieltjes Integral
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Stieltjes Integral
In this video (which I made up on the spot!), I calculate the Stieltjes integral of x from 0 to 1 with alpha(x) = x^2. That integral is a nice generalization of the Riemann integral and closely resembles it. Then I show how those integrals are similar in the case alpha is smooth, and finally I give a quick example when alpha is not smooth. Enjoy!
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SOLVED: point) For this problem, you will need to use the Desmos Riemann Sum Calculator. (This link opens a new tablwindow:)Initially; the calculator shows a left Riemann sum with n = 5 subintervals for the function f(x) 2x ] on the interval [1, 4] . Use the applet to compute the following sums for this function on this interval: Ls Ms RsL2sM25R2sM1ooR1ooNow use basic geometry to determine the exact area bounded by f(x) 2x 1 and the x-axis on the interval [1, 4]- Exact AreaMake a note of any
SOLVED: point) For this problem, you will need to use the Desmos Riemann Sum Calculator. (This link opens a new tablwindow:)Initially; the calculator shows a left Riemann sum with n = 5 subintervals for the function f(x) 2x ] on the interval [1, 4] . Use the applet to compute the following sums for this function on this interval: Ls Ms RsL2sM25R2sM1ooR1ooNow use basic geometry to determine the exact area bounded by f(x) 2x 1 and the x-axis on the interval [1, 4]- Exact AreaMake a note of any
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