MATH 2B Study Guide - Final Guide: Riemann Sum, Improper Integral

1) a) Sketch the graph using guidelines of f(x)-2x3-2x2-12x Estimate the area under the graph of f(x)-2x3-2x2-12x from x =-2 to x = 3 using five approximating rectangles and right endpoints. b) c) Using five approximating rectangles and midpoint rule. Express the integral J-2 2x3-2x2-12x dx as a limit of Riemann sums. Evaluate the Limit d) n 3 (n(n+1)

Use the form of the definition of the integral given in the theorem to evaluate the integral. 0 (8x2+8x) dx Need HelpRead It Talk to a Tutor -1 points SCalcET8 5.2.509.XP Express the integral as a limit of Riemann sums. Do not evaluate the limit. (Use the right endpoints of each subinterval as your sample points.) oda 3 2 4 lim 1 Need Help?ReadWathTak to a Tutor Watch It Talk to a Tutor Submit Answer Save Progress Practice Another Version /1 points SCalcET8 5.2.510.XP Express the integral as a limit of Riemann sums. Do not evaluate the mit. (Use the right endpoints of each subinterval as your sample points.) (x - 5 In(x)) dx lim