Question

Use left endpoints and 9 rectangles to find the approximation of the area of the region between the graph of the function cos2x and the x-axis over the interval [0, pi/2] . Round your answer to four decimal places.

Answer 1

since the graph in the interval is symmetric about (0,pi/4) the area is zero.

cos(2x) goes from 1 to -1 over the interval.

However, using the specified rectangles, the approximation is 0.1745

Answer 2

thank you!