Calc Homework #10 The integral 5 (W) a]; can be solved by matching it to which form using the given Table of Integrals? ( see last page). The correct form 3 is Form # In this case, u = x, du = dx and a = Calculate the volume of the object generated by revolving f(x} = Jx I over the interval [2,5] Page 2 of 4 ZOOM + 3. Besides calculating areas, definite integrals have many other practical applications. List five other applications. 4. The topic(s) that I found most interesting so far this semester is/are: a) Finding relative max/min and inflection points b) Finding absolute max/min values of a function over a given interval c) Finding anti-derivatives d) Definite integral applications e) Something else? Please add here:\fPage 4 of 4 ZOOM ER 6 Additional Topics in Integration TABLE 6.1 A Short Table of Integrals Forms Involving a + bu 1. Jat by = [a + bu - alnje + buj] + C or du = [(a + bur' - toda + bur) + 20' In ja + bul] + C udu - 1 " + In jet but + C 3 . To + bury blat but 4. J Va + bu " 3(bu - 20) Va + bu + C 5 . - in Vat bu - Ve +c 420 Java + bu Va Va+ bu + Val did = 1in " + c 6. "(a + bu) 7. dur -1[1 + 2 mm " +c -1 a + 2bu - 26 In s. ita + buy " " lita + buy + a la + bull Forms Involving a" + uf ". ( Va + wd = ; Votr + 51) + Va+1+ c - In ju + Va +w+c 13. for Va for du = " (o' + 20 ) Va + w - cloju + Va+ + C page 480