The following function is positive and negative on the given interval.
f(x) = \sin 2x; \left[\frac{\pi}{2}, \frac{5\pi}{4}\right]
a. Sketch the function on the given interval.
b. Approximate the net area bounded by the graph of f and the x-axis on the interval using a left, right, and midpoint Riemann sum with n = 4.
c. Use the sketch in part (a) to show which intervals of \left[\frac{\pi}{2}, \frac{5\pi}{4}\right] make positive and negative contributions to the net area.
a. Choose the correct answer below.
b. Use a calculator to approximate the area. The net area, approximated using the left Riemann sum with n = 4, is
(Do not round until the final answer. Then round to three decimal places as needed.)