Find the right-sided Riemann Sum of cos(x^2) with n = 3, from [2, 5] {Ans: Right S3 = (1)[cos(3^2) + cos(4^2) + cos(5^2)] Right S3 = (1)[cos(9) + cos(16) + cos(25)] Right S3 = -.878}Find the area of the polar equation r = 4cos θ {Ans: A = (1/2) ∫(4cos θ)^2dθ from [0, 2pi] plug into calculator A = 8pi + 8sin(pi)}Find the left-sided Riemann Sum of sin(x^2) with n = 4, from [0, 4] {Ans: Left S4 = (1)[sin(0^2) + sin(1^2) + sin(2^2) + sin(3^2)] Left S4 = (1)[sin(0) + sin(1) + sin(4) + sin(9)] Left S4 = .497}Use the trapezoid rule with n = 4 to approximate the area between the curve f(x) = x^3 -x and the x-axis from x = 3 to x =7 {Ans: Trapezoid = (1/2)(1)[(3^3 -3) +2(4^3 -4) +2(5^3 -5) +2(6^3 -6) +(7^3 -7)] Trapezoid = 570}Find the area bounded by the two curves. y = 4x - x^2, y = 8x -2x^2 {Ans: set functions equal to find the points of intersection; x = 0,4 (These are your bounds) A = ∫[8x -2x^2 -(4x - x^2)]dx from [0,4] plug into calculator A = 32/3}Find the midpoint Riemann