The definition of the definite integral given on page 226 is diffcult to work witn In this problem, we will compute the following relatively simple integral using this definition: (4 -f- .3x) do We will compute the definite integral using the equality lim where are right-hand endpoints of the subintervals. (a) Imagine chopping the interval [1, 5) into n equally sized subintervals. Ax is the length of each of these subintervals. is the right-endpoint of the ith subinterval. Determine Ax and This answer should be a function of n. This answer should be a function of n and i. When i n, you should have xn b) Using the answers you found above; compute for f(x) = 4 + 3m using the sum formulas found on page 218. This answer should be a function of n. (c) Now compute the value of the integral by taking the limit: (4 + 3x) dx lim This answer should be a number. 5; the right-endpoint of our interval Use geometry to verify that this number is in fact the area under the graph of f(x) between x 1 and x