Teri Lee Spring2009-Math1242-700 700 WeBWorK assignment number WW25 Definite Integral is due : 01/20/2009 at 11:59pm EST. The link MATH 1242 700 contains the syllabus, grading policy and other information. You should access the course by going through 49er Express and BlackBoard This is a WebWork assignment for Module 25-The Definite Integral. Here’s the list of the functions which WeBWorK understands. You can use the Feedback button on each problem page to send e-mail to me. 1. (1 pt) Consider the integral Z 7 3 4x +1dx (a) Find the Riemann sum for this integral using right endpoints and n = 4. (b) Find the Riemann sum for this same integral, using left endpoints and n = 4 2. (1 pt) Z 15 1 f (x)-Z 9 1 f (x) = Z b a f (x) where a= and b= 3. (1 pt) Let Z -1 -7 f (x)dx = 10,Z -5 -7 f (x)dx = 9,Z -1 -3 f (x)dx = 2. Find Z -3 -5 f (x)dx = and Z -3 -5 (10 f (x)-9)dx = 4. (1 pt) Evaluate the integral below by interpreting it in terms of areas. In other words, draw a picture of the region the integral represents, and find the area using high school geometry. Z 2 -2p4-x2dx 5. (1 pt) Approximate Z p/2 0 x sin(x)dx by computing the Left and Right sums, using the partition {0,p/6,p/4,p/3,p/2}. Your answers should be accurate to at least 4 decimal places. Left Sum = Right Sum = You may include a formula as an answer. 6. (1 pt) The following sum 1 1+ 5n · 5n + 1 1+ 10 n · 5n + 1 1+ 15 n · 5n +. . .+ 1 1+ 5n n · 5n is a right Riemann sum for a certain definite integral Z b 1 f (x)dx using a partition of the interval [1,b] into n subintervals of equal length. Then the upper limit of integration must be: b = and the integrand must be the function f (x) = 7. (1 pt) Evaluate the definite integral by interpreting it in terms of areas. Z 8 3 (3x-21)dx 8. (1 pt) Let Z -3.5 -8 f (x)dx = 9, Z -6.5 -8 f (x)dx = 2, Z -3.5 -5 f (x)dx = 7. Find Z -5 -6.5 f (x)dx = and Z -6.5 -5 (9 f (x)-2)dx = 9. (1 pt) You are given the four points in the plane A = (-2,6), B = (2,-1), C = (7,6), and D =…