1. Use 4 rectangles to estimate the area between f(x) = 8 sin 2x and the x-axis on the interval [0, 5]. Sketch the area and show your calculation. Give the exact simplified answer for your estimate, then round to four decimal places. a) Use Left Endpoints LA = b) Explain what difference, if any, using Right Endpoints would have on your estimate. RA = 2. Use Midpoints of the 4 rectangles to estimate the area described in problem 1 (round to 4 decimal places): MA = 3. If a continuous function is decreasing on the interval [a , b], which would give an upper estimate of the area using n rectangles: using right endpoints or left endpoints? Explain with an example or illustration.4. The table shows velocity of an object moving in rectilinear motion. Find the Riemann Sum on the interval [1,8] using the table and right endpoints, indicating the correct units for your estimate - what does the sum represent? t (sec) 1 2.5 3 5 8 V(ft/sec) 6 0 - 4 2 5 5. Write the limit of the Riemann Sum as a definite integral: limn-co Zk=1 5xk+3 2Xk Ax, [0,10] 6. Use geometry and the graph of f(x) shown to evaluate each definite integral (exact value, not estimates using rectangles). X