Determine the midpoint Riemann–sum approximation of using 3 equal subintervals

MATHEMATICS · Single correct · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Determine the midpoint Riemann–sum approximation of

\displaystyle\int_{0}^{\pi}\!\sin x\,dx

using 3 equal subintervals. Round your answer to three decimal places. (a) 2.474 (b) 2.094 (c) 1.814 (d) 2.052