Math 180 Worksheets 4. Let f(x) = cos(x) on [0, 37 /2] with n = 6. . Sketch the graph of the function on the given interval. . Calculate Ar and the grid points To, $1, . . ., In. . Illustrate the n-th left and right Riemann sums. 5. Express the following sums using sigma notation: (a) 1+2+3+4+5 1 (b) 12 + 22 + 32 + 42 + ...+ 202 (c) -1+2-3+4-5+ ...-19 6. Recall the definition of a definite integral fa f(x)dx as a limit of Riemann sums is: ['s()de = Lim _ f(x.) Ar where the interval [a, 6) is divided into n subintervals, and x; are the evaluation points. Express the limit lim EVI+ 2 . In ( 1+ " ) . as a definite integral, 3