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

5-172.
  1. A particle moves along a number line with velocity at time t given by the formula v(t) = t ln(t + 1). Homework Help ✎

    1. Use a 5-term midpoint Riemann sum to estimate the displacement of the particle over the interval from t = 0 to t = 4.

    2. Estimate the same displacement using the Trapezoidal Rule with 5 trapezoids.

General setup for a midpoint Riemann sum:

General setup for Trapezoidal sum on [a, b]: