Chapter 5, Problem 7RE

Estimating a definite integral Use a calculator and midpoint Riemann sums to approximate ${\displaystyle {\int }_1^{25}\sqrt{2x-1}dx}$. Present your calculations in a table showing the approximations for $n=10$, 30. and 60 subintervals, assuming a regular partition. Make a conjecture about the exact value of the integral and verify your conjecture using the Fundamental Theorem of Calculus.