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6. Approximate the area of the regi a are ee ‘on enclosed by the graph of f(x) = 2* and the x-axis on the interval [0,5], using subi intervals [0,3] , [3.4], [4,5] and indicated sums. State whether each is an under/overestimate of the tue area a) Left Riemann sum | Wart gor t Let) =2F Ladtieonmue sum and Fer 7. Approximate the area of the region enclosed by the graph of f(x) Riemann sums with subintervals of equal width. State whether each a) Left Riemann sum with .. © three subintervals fo BY) M.cy SELrD43TLII* 2OCI) =A] rocceuse we vded 16h emann y Ovetest mute Sum und FLY dectrugee on LO © six subintervals fo YONA Frzan = OF * PLCs 27019 + 2001) 4 LID 1eT leptim we OzCcLUSe we teed le Tiemann AO Fed dees ate = 36 — x? and the x-axis, b) Right Riemann sum BALII4 ICL KEADETH veresmimote wee we wm omc PLY yncteas on the interval [0 , 6] , using indicated is an under/overestimate of the true area. b) Right Riemann sum with .. © three subintervals ade 320992104 oLays XO niger ceme R on Lacs ond FUD decwrnes © six subintervals WO 2 BS AD4 DAI ATO? ~~ oecouse we ¥ Fema mon ENRICHMENT: As the number of subintervals increases, what can you assume? \t ges mote col ote ‘Approximate the area of the region enclosed by the graph of f(x) = 1+ cosx and the x-axis , on the interval [0 27] , using indicated sums with four subintervals of equal width. a) Midpoint Riemann sum : IRQS eel eM B.) 8-20 > 2 b) Trapezoidal sum Uy. “ a1 73> i; (4G199 qd a 5 a soe: 3 ae CL+OdUU2) 4 Indeed, the exact area is 2m. Can you make a geometric argument why your answers match 8 ae . wf (SEOs 41 OF 27d Cost) 7a aa it? Write ona separate pape. ented delete 
