Let . Estimate (integral from 0 to pi/2) by calculating the lower Riemann sums and the upper Riemann sums for n = 3 with respect to a partition of into n subintervals of equal length. Verify that
and explain why for all
I don't even know what this means!!
Question - how does one mark a thread as Solved?
Also - there's a bit at the end of the question, where I'm asked to
"Explain why L(f,P_n) <= 1 <= U(f,P_n) for all n > 0".
Can I just say it's because the function is monotonically increasing and therefore the Upper Sum will be an overestimation, and the Lower Sum will be an underestimation?
Where does the '1' come into that though?