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    Let a(x)=x^3. From the definition, approximate the Riemann-Stieltjes integral....for each of the following partitions

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    Dear student
    Please find the solution in the attachment.

    Solution: Given function f(x) =2x-1 is bounded on [0, 2]. The integrator . We know the partition . So, . The increments and .
    The approximate value of the R-S integral is 22.

    Let us solve this problem by proving two independent statements.
    First we prove that if then
    To prove this, for a given , there ...

    Solution Summary

    This provides an example of approximating the Riemann-Stieltjes integral.