Let a(x)=x^3. From the definition, approximate the Riemann-Stieltjes integral....for each of the following partitions© BrainMass Inc. brainmass.com October 9, 2019, 10:28 pm ad1c9bdddf
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 ...
This provides an example of approximating the Riemann-Stieltjes integral.