Question

Problem 5. (1 point) Consider the following integral. Sketch its region of integration in the xy- plane - dr dy Jo Jo In(2) (a) Which graph shows the region of integration in the xy-plane? ? (b) Write the integral with the order of integration reversed: BDI Ir du = Jo Jo In(2) JA Jc In(2) dydz with limits of integration (Click on a graph to enlarge it) (C) Evaluate the integral. preview answers

Answer 1

salution Page 1 of 2 er incon dady andy 9 = 0 = y en G) The region of integration is bounded by yo , y=3, n=et, n=e3 Region of integration is y n shown by shaded portion so region shown by diagram A is correct. so answer of (a) past is diagram A. 1 (6) on changing the onder of integral to change onder we will first cut a vertical staip in the region. In shaded region PQR we see that a varies from I to e and y varies from o to 3 11111 11111

Solution Page 2 of 2 so given integral becomes Bo Answer of (6) past is A=l, Bré, eso , D = 4(a) c ă penta) y=on=p L a gente da Integrating fw.sr.to y inn Esperanto Eston) - oJ =1 Jx= Answer = - Answer which is required answer of (a) part.