### Home > CALC > Chapter 5 > Lesson 5.5.2 > Problem 5-172

5-172.

A particle moves along a number line with velocity at time *t* given by the formula .

Use a

-term midpoint Riemann sum to estimate the displacement of the particle over the interval from to.General setup for a midpoint Riemann sum:

Estimate the same displacement using the Trapezoidal Rule with

trapezoids. General setup for Trapezoidal sum on

: