Midpoint riemann sum △x X k n FIGURE 5.11 Copyright 2011 Pearson Education, Inc. Publishing as Pears on Addis on-Wesley side5·17
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley. Slide 5 - 17
Left riemann Sum f(r)=sin.r Width of each First rectangle rectangle is has height o f(x6) f(x1)=0 f(,) f(x,) x2=12x3 FIGURE 5.12 Copyright 2011 Pearson Education, Inc. Publishing as Pears on Addis on-Wesley Slide 5-18
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley. Slide 5 - 18
Right riemann Sum f(r)=sin x Width of each rectangle i f(,) f(x5) (x,) f(x3) f(x2) =号一 FIGURE 5. 13 Copyright 2011 Pearson Education, Inc. Publishing as Pears on Addis on-Wesley Slide 5-19
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley. Slide 5 - 19
Midpoint Riemann Sum f(r)=sinx Width of each rectangle is f(s) fc, f(ry) f(x3) f(x2) 3 7m 9 IIT FIGURE 5.14 Copyright 2011 Pearson Education, Inc. Publishing as Pears on Addis on-Wesley Slide 5-20
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley. Slide 5 - 20
Table 5.2 f(r) 0 0.5 1.0 4.5 1.5 2.06.0 Copyright 2011 Pearson Education, Inc. Publishing as Pears on Addis on-Wesley Slide 5- 21
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley. Slide 5 - 21