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


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

  1. 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:

  2. Estimate the same displacement using the Trapezoidal Rule with trapezoids.

    General setup for Trapezoidal sum on :