Express the integral as a limit of Riemann sums using right endpoints. Do not evaluate the limit. 3 3 + x- dx lim 7- 00 i= 1 Xy = f(x) 6 X 0 6 12 18 24 Evaluate each integral by interpreting it in terms of areas. (a) f ( x ) dx /o 15 (b ) f(x) dx /o 21 (c) f(x) dx 15 21 (d) f(x) dx 21 (e) If(x) | dx 19 (f ) f ( x ) dx 16b Write the following expression as a single definite integral of the form f(x) dx. - 2 3 -3 f(x) dx + f(x) dx - f(x) dx -6 -6 f(x ) dxUnless specified, all approximationg rectangles are assumed to have the same width. The graph of the function fis given. y 4 y = f(x) 2 X 8 (a) By reading values from the given graph of f, use five rectangles to find a lower estimate for the area under the given graph of f, the x-axis, and the lines x = 0 and x = 10. (Round your answer to one decimal place.) X Sketch the rectangles to illustrate the estimate.2 2 2 X 8 4 8 AO 4 8 AO 4 8 By reading values from the given graph of f, use five rectangles to find an upper estimate for the area under the given graph of f, the x-axis, and the lines x = 0 and x = 10. (Round your answer to one decimal place.) 2.1 X Sketch the rectangles to illustrate the estimate. 4 4 4 4 y = f(x) y = f(x) y = f(x) y = f(x) 2 2 2 2 4 8 4 8 AO 4 8 4 8 (b) Find new estimates using ten rectangles in each case. (Round your answers to one decimal place.) lower estimate 1.3 X upper estimate 1.7 X