- #1

- 354

- 153

- Homework Statement
- This equation is found on PAGE 7, https://ocw.mit.edu/courses/mathematics/18-01sc-single-variable-calculus-fall-2010/unit-3-the-definite-integral-and-its-applications/exam-3/materials-for-exam-3/MIT18_01SCF10_exam3sol.pdf

- Relevant Equations
- .

Can someone please explain why the formula for midpoint approximation looks like the equation above instead of something like

$$M_n=(f(\frac{x_0+x_1}2)+f(\frac{x_1+x_2}2)+\cdots+f(\frac{x_{n-1}+x_n}2))\frac{b-a}n$$?

Thanks in advance!